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Finding the Fourth Proportional to 157,952.34, 217,980.09 and 86,337.18

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Solution

The fourth proportional to 157,952.34, 217,980.09 and 86,337.18 is: 119,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,952.34 : 217,980.09 = 86,337.18 : x
  2. Step 2: Convert to fraction form
    157,952.34/217,980.09 = 86,337.18/x
  3. Step 3: Cross multiply
    157,952.34x = 217,980.09 × 86,337.18
  4. Step 4: Simplify right side
    157,952.34x = 18,819,786,266.75
  5. Step 5: Solve for x
    x = 18,819,786,266.75/157,952.34
  6. Step 6: Final answer
    x = 119,148.51

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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.