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Finding the Fourth Proportional to 147,951.96, 204,159.06 and 84,285.96

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Solution

The fourth proportional to 147,951.96, 204,159.06 and 84,285.96 is: 116,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,951.96 : 204,159.06 = 84,285.96 : x
  2. Step 2: Convert to fraction form
    147,951.96/204,159.06 = 84,285.96/x
  3. Step 3: Cross multiply
    147,951.96x = 204,159.06 × 84,285.96
  4. Step 4: Simplify right side
    147,951.96x = 17,207,742,364.80
  5. Step 5: Solve for x
    x = 17,207,742,364.80/147,951.96
  6. Step 6: Final answer
    x = 116,306.28

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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.