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Finding the Fourth Proportional to 225,432, 311,096.16 and 124,830

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Solution

The fourth proportional to 225,432, 311,096.16 and 124,830 is: 172,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,432 : 311,096.16 = 124,830 : x
  2. Step 2: Convert to fraction form
    225,432/311,096.16 = 124,830/x
  3. Step 3: Cross multiply
    225,432x = 311,096.16 × 124,830
  4. Step 4: Simplify right side
    225,432x = 38,834,133,652.80
  5. Step 5: Solve for x
    x = 38,834,133,652.80/225,432
  6. Step 6: Final answer
    x = 172,265.40

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