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Finding the Fourth Proportional to 180,952.60, 249,722.78 and 100,380.18

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Solution

The fourth proportional to 180,952.60, 249,722.78 and 100,380.18 is: 138,529.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,952.60 : 249,722.78 = 100,380.18 : x
  2. Step 2: Convert to fraction form
    180,952.60/249,722.78 = 100,380.18/x
  3. Step 3: Cross multiply
    180,952.60x = 249,722.78 × 100,380.18
  4. Step 4: Simplify right side
    180,952.60x = 25,067,217,606.50
  5. Step 5: Solve for x
    x = 25,067,217,606.50/180,952.60
  6. Step 6: Final answer
    x = 138,529.19

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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.