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Finding the Fourth Proportional to 142,389.60, 196,483.80 and 78,718.68

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Solution

The fourth proportional to 142,389.60, 196,483.80 and 78,718.68 is: 108,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,389.60 : 196,483.80 = 78,718.68 : x
  2. Step 2: Convert to fraction form
    142,389.60/196,483.80 = 78,718.68/x
  3. Step 3: Cross multiply
    142,389.60x = 196,483.80 × 78,718.68
  4. Step 4: Simplify right side
    142,389.60x = 15,466,945,377.38
  5. Step 5: Solve for x
    x = 15,466,945,377.38/142,389.60
  6. Step 6: Final answer
    x = 108,624.12

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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.