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Finding the Fourth Proportional to 142,834.32, 197,113.35 and 78,309.63

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Solution

The fourth proportional to 142,834.32, 197,113.35 and 78,309.63 is: 108,068.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,834.32 : 197,113.35 = 78,309.63 : x
  2. Step 2: Convert to fraction form
    142,834.32/197,113.35 = 78,309.63/x
  3. Step 3: Cross multiply
    142,834.32x = 197,113.35 × 78,309.63
  4. Step 4: Simplify right side
    142,834.32x = 15,435,873,506.56
  5. Step 5: Solve for x
    x = 15,435,873,506.56/142,834.32
  6. Step 6: Final answer
    x = 108,068.38

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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.