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Finding the Fourth Proportional to 180,481.38, 249,061.32 and 99,907.20

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Solution

The fourth proportional to 180,481.38, 249,061.32 and 99,907.20 is: 137,870.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,481.38 : 249,061.32 = 99,907.20 : x
  2. Step 2: Convert to fraction form
    180,481.38/249,061.32 = 99,907.20/x
  3. Step 3: Cross multiply
    180,481.38x = 249,061.32 × 99,907.20
  4. Step 4: Simplify right side
    180,481.38x = 24,883,019,109.50
  5. Step 5: Solve for x
    x = 24,883,019,109.50/180,481.38
  6. Step 6: Final answer
    x = 137,870.28

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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.