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Finding the Fourth Proportional to 180,532.80, 249,139.16 and 98,864.48

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Solution

The fourth proportional to 180,532.80, 249,139.16 and 98,864.48 is: 136,435.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,532.80 : 249,139.16 = 98,864.48 : x
  2. Step 2: Convert to fraction form
    180,532.80/249,139.16 = 98,864.48/x
  3. Step 3: Cross multiply
    180,532.80x = 249,139.16 × 98,864.48
  4. Step 4: Simplify right side
    180,532.80x = 24,631,014,000.30
  5. Step 5: Solve for x
    x = 24,631,014,000.30/180,532.80
  6. Step 6: Final answer
    x = 136,435.12

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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.