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Finding the Fourth Proportional to 228,216.66, 314,832.96 and 147,670.16

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Solution

The fourth proportional to 228,216.66, 314,832.96 and 147,670.16 is: 203,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,216.66 : 314,832.96 = 147,670.16 : x
  2. Step 2: Convert to fraction form
    228,216.66/314,832.96 = 147,670.16/x
  3. Step 3: Cross multiply
    228,216.66x = 314,832.96 × 147,670.16
  4. Step 4: Simplify right side
    228,216.66x = 46,491,433,576.47
  5. Step 5: Solve for x
    x = 46,491,433,576.47/228,216.66
  6. Step 6: Final answer
    x = 203,716.21

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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.