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Finding the Fourth Proportional to 181,078.32, 249,876.48 and 100,506

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Solution

The fourth proportional to 181,078.32, 249,876.48 and 100,506 is: 138,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,078.32 : 249,876.48 = 100,506 : x
  2. Step 2: Convert to fraction form
    181,078.32/249,876.48 = 100,506/x
  3. Step 3: Cross multiply
    181,078.32x = 249,876.48 × 100,506
  4. Step 4: Simplify right side
    181,078.32x = 25,114,085,498.88
  5. Step 5: Solve for x
    x = 25,114,085,498.88/181,078.32
  6. Step 6: Final answer
    x = 138,691.84

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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.