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Finding the Fourth Proportional to 330,061.10, 495,260.46 and 157,148.53

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Solution

The fourth proportional to 330,061.10, 495,260.46 and 157,148.53 is: 235,803.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,061.10 : 495,260.46 = 157,148.53 : x
  2. Step 2: Convert to fraction form
    330,061.10/495,260.46 = 157,148.53/x
  3. Step 3: Cross multiply
    330,061.10x = 495,260.46 × 157,148.53
  4. Step 4: Simplify right side
    330,061.10x = 77,829,452,017.97
  5. Step 5: Solve for x
    x = 77,829,452,017.97/330,061.10
  6. Step 6: Final answer
    x = 235,803.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.