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Finding the Fourth Proportional to 145,840.40, 218,323.20 and 86,645.60

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Solution

The fourth proportional to 145,840.40, 218,323.20 and 86,645.60 is: 129,708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,840.40 : 218,323.20 = 86,645.60 : x
  2. Step 2: Convert to fraction form
    145,840.40/218,323.20 = 86,645.60/x
  3. Step 3: Cross multiply
    145,840.40x = 218,323.20 × 86,645.60
  4. Step 4: Simplify right side
    145,840.40x = 18,916,744,657.92
  5. Step 5: Solve for x
    x = 18,916,744,657.92/145,840.40
  6. Step 6: Final answer
    x = 129,708.54

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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.