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Finding the Fourth Proportional to 180,758.52, 249,306.12 and 109,063.80

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Solution

The fourth proportional to 180,758.52, 249,306.12 and 109,063.80 is: 150,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,758.52 : 249,306.12 = 109,063.80 : x
  2. Step 2: Convert to fraction form
    180,758.52/249,306.12 = 109,063.80/x
  3. Step 3: Cross multiply
    180,758.52x = 249,306.12 × 109,063.80
  4. Step 4: Simplify right side
    180,758.52x = 27,190,272,810.46
  5. Step 5: Solve for x
    x = 27,190,272,810.46/180,758.52
  6. Step 6: Final answer
    x = 150,423.19

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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.