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Finding the Fourth Proportional to 228,202.06, 314,814.06 and 147,655.84

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Solution

The fourth proportional to 228,202.06, 314,814.06 and 147,655.84 is: 203,697.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,202.06 : 314,814.06 = 147,655.84 : x
  2. Step 2: Convert to fraction form
    228,202.06/314,814.06 = 147,655.84/x
  3. Step 3: Cross multiply
    228,202.06x = 314,814.06 × 147,655.84
  4. Step 4: Simplify right side
    228,202.06x = 46,484,134,473.11
  5. Step 5: Solve for x
    x = 46,484,134,473.11/228,202.06
  6. Step 6: Final answer
    x = 203,697.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.