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Finding the Fourth Proportional to 180,898.08, 249,654.33 and 100,351.50

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Solution

The fourth proportional to 180,898.08, 249,654.33 and 100,351.50 is: 138,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,898.08 : 249,654.33 = 100,351.50 : x
  2. Step 2: Convert to fraction form
    180,898.08/249,654.33 = 100,351.50/x
  3. Step 3: Cross multiply
    180,898.08x = 249,654.33 × 100,351.50
  4. Step 4: Simplify right side
    180,898.08x = 25,053,186,497.00
  5. Step 5: Solve for x
    x = 25,053,186,497.00/180,898.08
  6. Step 6: Final answer
    x = 138,493.38

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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.