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Finding the Fourth Proportional to 284,153.01, 392,119.70 and 156,826.95

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Solution

The fourth proportional to 284,153.01, 392,119.70 and 156,826.95 is: 216,414.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,153.01 : 392,119.70 = 156,826.95 : x
  2. Step 2: Convert to fraction form
    284,153.01/392,119.70 = 156,826.95/x
  3. Step 3: Cross multiply
    284,153.01x = 392,119.70 × 156,826.95
  4. Step 4: Simplify right side
    284,153.01x = 61,494,935,801.78
  5. Step 5: Solve for x
    x = 61,494,935,801.78/284,153.01
  6. Step 6: Final answer
    x = 216,414.87

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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.