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Finding the Fourth Proportional to 153,508.92, 229,930.08 and 74,457

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Solution

The fourth proportional to 153,508.92, 229,930.08 and 74,457 is: 111,523.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,508.92 : 229,930.08 = 74,457 : x
  2. Step 2: Convert to fraction form
    153,508.92/229,930.08 = 74,457/x
  3. Step 3: Cross multiply
    153,508.92x = 229,930.08 × 74,457
  4. Step 4: Simplify right side
    153,508.92x = 17,119,903,966.56
  5. Step 5: Solve for x
    x = 17,119,903,966.56/153,508.92
  6. Step 6: Final answer
    x = 111,523.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.