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Finding the Fourth Proportional to 102,645.10, 153,967.65 and 88,648.30

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Solution

The fourth proportional to 102,645.10, 153,967.65 and 88,648.30 is: 132,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,645.10 : 153,967.65 = 88,648.30 : x
  2. Step 2: Convert to fraction form
    102,645.10/153,967.65 = 88,648.30/x
  3. Step 3: Cross multiply
    102,645.10x = 153,967.65 × 88,648.30
  4. Step 4: Simplify right side
    102,645.10x = 13,648,970,427.50
  5. Step 5: Solve for x
    x = 13,648,970,427.50/102,645.10
  6. Step 6: Final answer
    x = 132,972.45

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