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Finding the Fourth Proportional to 142,388.22, 196,480.71 and 78,715.74

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Solution

The fourth proportional to 142,388.22, 196,480.71 and 78,715.74 is: 108,619.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,388.22 : 196,480.71 = 78,715.74 : x
  2. Step 2: Convert to fraction form
    142,388.22/196,480.71 = 78,715.74/x
  3. Step 3: Cross multiply
    142,388.22x = 196,480.71 × 78,715.74
  4. Step 4: Simplify right side
    142,388.22x = 15,466,124,483.38
  5. Step 5: Solve for x
    x = 15,466,124,483.38/142,388.22
  6. Step 6: Final answer
    x = 108,619.41

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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.