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Finding the Fourth Proportional to 284,193.38, 392,186.90 and 156,869.01

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Solution

The fourth proportional to 284,193.38, 392,186.90 and 156,869.01 is: 216,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,193.38 : 392,186.90 = 156,869.01 : x
  2. Step 2: Convert to fraction form
    284,193.38/392,186.90 = 156,869.01/x
  3. Step 3: Cross multiply
    284,193.38x = 392,186.90 × 156,869.01
  4. Step 4: Simplify right side
    284,193.38x = 61,521,969,953.62
  5. Step 5: Solve for x
    x = 61,521,969,953.62/284,193.38
  6. Step 6: Final answer
    x = 216,479.25

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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.