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Finding the Fourth Proportional to 157,421.52, 217,248.84 and 92,894.16

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Solution

The fourth proportional to 157,421.52, 217,248.84 and 92,894.16 is: 128,198.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,421.52 : 217,248.84 = 92,894.16 : x
  2. Step 2: Convert to fraction form
    157,421.52/217,248.84 = 92,894.16/x
  3. Step 3: Cross multiply
    157,421.52x = 217,248.84 × 92,894.16
  4. Step 4: Simplify right side
    157,421.52x = 20,181,148,502.77
  5. Step 5: Solve for x
    x = 20,181,148,502.77/157,421.52
  6. Step 6: Final answer
    x = 128,198.16

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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.