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Finding the Fourth Proportional to 284,168.69, 392,124.86 and 156,836.08

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Solution

The fourth proportional to 284,168.69, 392,124.86 and 156,836.08 is: 216,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,168.69 : 392,124.86 = 156,836.08 : x
  2. Step 2: Convert to fraction form
    284,168.69/392,124.86 = 156,836.08/x
  3. Step 3: Cross multiply
    284,168.69x = 392,124.86 × 156,836.08
  4. Step 4: Simplify right side
    284,168.69x = 61,499,323,168.14
  5. Step 5: Solve for x
    x = 61,499,323,168.14/284,168.69
  6. Step 6: Final answer
    x = 216,418.36

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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.