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Finding the Fourth Proportional to 140,143.38, 193,398.45 and 76,482.54

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Solution

The fourth proportional to 140,143.38, 193,398.45 and 76,482.54 is: 105,546.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,143.38 : 193,398.45 = 76,482.54 : x
  2. Step 2: Convert to fraction form
    140,143.38/193,398.45 = 76,482.54/x
  3. Step 3: Cross multiply
    140,143.38x = 193,398.45 × 76,482.54
  4. Step 4: Simplify right side
    140,143.38x = 14,791,604,688.06
  5. Step 5: Solve for x
    x = 14,791,604,688.06/140,143.38
  6. Step 6: Final answer
    x = 105,546.22

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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.