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Finding the Fourth Proportional to 284,167, 392,148.48 and 156,842.56

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Solution

The fourth proportional to 284,167, 392,148.48 and 156,842.56 is: 216,441.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,167 : 392,148.48 = 156,842.56 : x
  2. Step 2: Convert to fraction form
    284,167/392,148.48 = 156,842.56/x
  3. Step 3: Cross multiply
    284,167x = 392,148.48 × 156,842.56
  4. Step 4: Simplify right side
    284,167x = 61,505,571,503.31
  5. Step 5: Solve for x
    x = 61,505,571,503.31/284,167
  6. Step 6: Final answer
    x = 216,441.64

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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.