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Finding the Fourth Proportional to 174,494.10, 261,741.15 and 156,779.40

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Solution

The fourth proportional to 174,494.10, 261,741.15 and 156,779.40 is: 235,169.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,494.10 : 261,741.15 = 156,779.40 : x
  2. Step 2: Convert to fraction form
    174,494.10/261,741.15 = 156,779.40/x
  3. Step 3: Cross multiply
    174,494.10x = 261,741.15 × 156,779.40
  4. Step 4: Simplify right side
    174,494.10x = 41,035,620,452.31
  5. Step 5: Solve for x
    x = 41,035,620,452.31/174,494.10
  6. Step 6: Final answer
    x = 235,169.10

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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.