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Finding the Fourth Proportional to 180,988.30, 249,770.54 and 109,354.48

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Solution

The fourth proportional to 180,988.30, 249,770.54 and 109,354.48 is: 150,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,988.30 : 249,770.54 = 109,354.48 : x
  2. Step 2: Convert to fraction form
    180,988.30/249,770.54 = 109,354.48/x
  3. Step 3: Cross multiply
    180,988.30x = 249,770.54 × 109,354.48
  4. Step 4: Simplify right side
    180,988.30x = 27,313,527,521.02
  5. Step 5: Solve for x
    x = 27,313,527,521.02/180,988.30
  6. Step 6: Final answer
    x = 150,913.22

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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.