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Finding the Fourth Proportional to 145,841.10, 218,761.65 and 139,620.30

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Solution

The fourth proportional to 145,841.10, 218,761.65 and 139,620.30 is: 209,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,841.10 : 218,761.65 = 139,620.30 : x
  2. Step 2: Convert to fraction form
    145,841.10/218,761.65 = 139,620.30/x
  3. Step 3: Cross multiply
    145,841.10x = 218,761.65 × 139,620.30
  4. Step 4: Simplify right side
    145,841.10x = 30,543,567,201.50
  5. Step 5: Solve for x
    x = 30,543,567,201.50/145,841.10
  6. Step 6: Final answer
    x = 209,430.45

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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.