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Finding the Fourth Proportional to 145,005.60, 218,091.60 and 129,842.40

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Solution

The fourth proportional to 145,005.60, 218,091.60 and 129,842.40 is: 195,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,005.60 : 218,091.60 = 129,842.40 : x
  2. Step 2: Convert to fraction form
    145,005.60/218,091.60 = 129,842.40/x
  3. Step 3: Cross multiply
    145,005.60x = 218,091.60 × 129,842.40
  4. Step 4: Simplify right side
    145,005.60x = 28,317,536,763.84
  5. Step 5: Solve for x
    x = 28,317,536,763.84/145,005.60
  6. Step 6: Final answer
    x = 195,285.81

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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.