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Finding the Fourth Proportional to 102,006.40, 153,009.60 and 88,489.60

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Solution

The fourth proportional to 102,006.40, 153,009.60 and 88,489.60 is: 132,734.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006.40 : 153,009.60 = 88,489.60 : x
  2. Step 2: Convert to fraction form
    102,006.40/153,009.60 = 88,489.60/x
  3. Step 3: Cross multiply
    102,006.40x = 153,009.60 × 88,489.60
  4. Step 4: Simplify right side
    102,006.40x = 13,539,758,300.16
  5. Step 5: Solve for x
    x = 13,539,758,300.16/102,006.40
  6. Step 6: Final answer
    x = 132,734.40

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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.