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Finding the Fourth Proportional to 180,995.92, 249,921.12 and 113,092

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Solution

The fourth proportional to 180,995.92, 249,921.12 and 113,092 is: 156,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,995.92 : 249,921.12 = 113,092 : x
  2. Step 2: Convert to fraction form
    180,995.92/249,921.12 = 113,092/x
  3. Step 3: Cross multiply
    180,995.92x = 249,921.12 × 113,092
  4. Step 4: Simplify right side
    180,995.92x = 28,264,079,303.04
  5. Step 5: Solve for x
    x = 28,264,079,303.04/180,995.92
  6. Step 6: Final answer
    x = 156,158.65

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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.