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Finding the Fourth Proportional to 157,125, 216,814.96 and 92,590.08

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Solution

The fourth proportional to 157,125, 216,814.96 and 92,590.08 is: 127,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,125 : 216,814.96 = 92,590.08 : x
  2. Step 2: Convert to fraction form
    157,125/216,814.96 = 92,590.08/x
  3. Step 3: Cross multiply
    157,125x = 216,814.96 × 92,590.08
  4. Step 4: Simplify right side
    157,125x = 20,074,914,491.60
  5. Step 5: Solve for x
    x = 20,074,914,491.60/157,125
  6. Step 6: Final answer
    x = 127,763.97

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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.