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Finding the Fourth Proportional to 180,944.38, 249,473.64 and 129,323.08

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Solution

The fourth proportional to 180,944.38, 249,473.64 and 129,323.08 is: 178,301.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,944.38 : 249,473.64 = 129,323.08 : x
  2. Step 2: Convert to fraction form
    180,944.38/249,473.64 = 129,323.08/x
  3. Step 3: Cross multiply
    180,944.38x = 249,473.64 × 129,323.08
  4. Step 4: Simplify right side
    180,944.38x = 32,262,699,503.61
  5. Step 5: Solve for x
    x = 32,262,699,503.61/180,944.38
  6. Step 6: Final answer
    x = 178,301.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.