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Finding the Fourth Proportional to 147,948.96, 204,154.92 and 84,282.96

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Solution

The fourth proportional to 147,948.96, 204,154.92 and 84,282.96 is: 116,302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,948.96 : 204,154.92 = 84,282.96 : x
  2. Step 2: Convert to fraction form
    147,948.96/204,154.92 = 84,282.96/x
  3. Step 3: Cross multiply
    147,948.96x = 204,154.92 × 84,282.96
  4. Step 4: Simplify right side
    147,948.96x = 17,206,780,956.16
  5. Step 5: Solve for x
    x = 17,206,780,956.16/147,948.96
  6. Step 6: Final answer
    x = 116,302.14

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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.