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Finding the Fourth Proportional to 284,158.58, 392,138.02 and 156,833.26

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Solution

The fourth proportional to 284,158.58, 392,138.02 and 156,833.26 is: 216,429.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,158.58 : 392,138.02 = 156,833.26 : x
  2. Step 2: Convert to fraction form
    284,158.58/392,138.02 = 156,833.26/x
  3. Step 3: Cross multiply
    284,158.58x = 392,138.02 × 156,833.26
  4. Step 4: Simplify right side
    284,158.58x = 61,500,284,046.55
  5. Step 5: Solve for x
    x = 61,500,284,046.55/284,158.58
  6. Step 6: Final answer
    x = 216,429.45

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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.