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Finding the Fourth Proportional to 189,202.60, 261,101.63 and 103,160.88

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Solution

The fourth proportional to 189,202.60, 261,101.63 and 103,160.88 is: 142,363.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,202.60 : 261,101.63 = 103,160.88 : x
  2. Step 2: Convert to fraction form
    189,202.60/261,101.63 = 103,160.88/x
  3. Step 3: Cross multiply
    189,202.60x = 261,101.63 × 103,160.88
  4. Step 4: Simplify right side
    189,202.60x = 26,935,473,920.23
  5. Step 5: Solve for x
    x = 26,935,473,920.23/189,202.60
  6. Step 6: Final answer
    x = 142,363.13

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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.