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Finding the Fourth Proportional to 189,155.84, 261,031.56 and 103,115.66

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Solution

The fourth proportional to 189,155.84, 261,031.56 and 103,115.66 is: 142,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,155.84 : 261,031.56 = 103,115.66 : x
  2. Step 2: Convert to fraction form
    189,155.84/261,031.56 = 103,115.66/x
  3. Step 3: Cross multiply
    189,155.84x = 261,031.56 × 103,115.66
  4. Step 4: Simplify right side
    189,155.84x = 26,916,441,590.23
  5. Step 5: Solve for x
    x = 26,916,441,590.23/189,155.84
  6. Step 6: Final answer
    x = 142,297.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.