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Finding the Fourth Proportional to 139,876.48, 193,031.70 and 76,214.20

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Solution

The fourth proportional to 139,876.48, 193,031.70 and 76,214.20 is: 105,176.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,876.48 : 193,031.70 = 76,214.20 : x
  2. Step 2: Convert to fraction form
    139,876.48/193,031.70 = 76,214.20/x
  3. Step 3: Cross multiply
    139,876.48x = 193,031.70 × 76,214.20
  4. Step 4: Simplify right side
    139,876.48x = 14,711,756,590.14
  5. Step 5: Solve for x
    x = 14,711,756,590.14/139,876.48
  6. Step 6: Final answer
    x = 105,176.77

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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.