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Finding the Fourth Proportional to 140,130.66, 193,384.41 and 76,472.57

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Solution

The fourth proportional to 140,130.66, 193,384.41 and 76,472.57 is: 105,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,130.66 : 193,384.41 = 76,472.57 : x
  2. Step 2: Convert to fraction form
    140,130.66/193,384.41 = 76,472.57/x
  3. Step 3: Cross multiply
    140,130.66x = 193,384.41 × 76,472.57
  4. Step 4: Simplify right side
    140,130.66x = 14,788,601,863.71
  5. Step 5: Solve for x
    x = 14,788,601,863.71/140,130.66
  6. Step 6: Final answer
    x = 105,534.38

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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.