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Finding the Fourth Proportional to 180,655.92, 249,313.92 and 109,034.64

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Solution

The fourth proportional to 180,655.92, 249,313.92 and 109,034.64 is: 150,473.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,655.92 : 249,313.92 = 109,034.64 : x
  2. Step 2: Convert to fraction form
    180,655.92/249,313.92 = 109,034.64/x
  3. Step 3: Cross multiply
    180,655.92x = 249,313.92 × 109,034.64
  4. Step 4: Simplify right side
    180,655.92x = 27,183,853,514.19
  5. Step 5: Solve for x
    x = 27,183,853,514.19/180,655.92
  6. Step 6: Final answer
    x = 150,473.08

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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.