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Finding the Fourth Proportional to 174,442.60, 261,779.10 and 99,562.60

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Solution

The fourth proportional to 174,442.60, 261,779.10 and 99,562.60 is: 149,409.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,442.60 : 261,779.10 = 99,562.60 : x
  2. Step 2: Convert to fraction form
    174,442.60/261,779.10 = 99,562.60/x
  3. Step 3: Cross multiply
    174,442.60x = 261,779.10 × 99,562.60
  4. Step 4: Simplify right side
    174,442.60x = 26,063,407,821.66
  5. Step 5: Solve for x
    x = 26,063,407,821.66/174,442.60
  6. Step 6: Final answer
    x = 149,409.65

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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.