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Finding the Fourth Proportional to 159,454.30, 238,720.65 and 97,246.30

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Solution

The fourth proportional to 159,454.30, 238,720.65 and 97,246.30 is: 145,588.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,454.30 : 238,720.65 = 97,246.30 : x
  2. Step 2: Convert to fraction form
    159,454.30/238,720.65 = 97,246.30/x
  3. Step 3: Cross multiply
    159,454.30x = 238,720.65 × 97,246.30
  4. Step 4: Simplify right side
    159,454.30x = 23,214,699,946.10
  5. Step 5: Solve for x
    x = 23,214,699,946.10/159,454.30
  6. Step 6: Final answer
    x = 145,588.42

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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.