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Finding the Fourth Proportional to 284,197.01, 392,191.07 and 156,871.69

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Solution

The fourth proportional to 284,197.01, 392,191.07 and 156,871.69 is: 216,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,197.01 : 392,191.07 = 156,871.69 : x
  2. Step 2: Convert to fraction form
    284,197.01/392,191.07 = 156,871.69/x
  3. Step 3: Cross multiply
    284,197.01x = 392,191.07 × 156,871.69
  4. Step 4: Simplify right side
    284,197.01x = 61,523,674,188.97
  5. Step 5: Solve for x
    x = 61,523,674,188.97/284,197.01
  6. Step 6: Final answer
    x = 216,482.49

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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.