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Finding the Fourth Proportional to 223,159.38, 307,988.02 and 138,289.20

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Solution

The fourth proportional to 223,159.38, 307,988.02 and 138,289.20 is: 190,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,159.38 : 307,988.02 = 138,289.20 : x
  2. Step 2: Convert to fraction form
    223,159.38/307,988.02 = 138,289.20/x
  3. Step 3: Cross multiply
    223,159.38x = 307,988.02 × 138,289.20
  4. Step 4: Simplify right side
    223,159.38x = 42,591,416,895.38
  5. Step 5: Solve for x
    x = 42,591,416,895.38/223,159.38
  6. Step 6: Final answer
    x = 190,856.49

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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.