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Finding the Fourth Proportional to 227,678.68, 314,133.66 and 147,109.72

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Solution

The fourth proportional to 227,678.68, 314,133.66 and 147,109.72 is: 202,970.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,678.68 : 314,133.66 = 147,109.72 : x
  2. Step 2: Convert to fraction form
    227,678.68/314,133.66 = 147,109.72/x
  3. Step 3: Cross multiply
    227,678.68x = 314,133.66 × 147,109.72
  4. Step 4: Simplify right side
    227,678.68x = 46,212,114,765.18
  5. Step 5: Solve for x
    x = 46,212,114,765.18/227,678.68
  6. Step 6: Final answer
    x = 202,970.76

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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.