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Finding the Fourth Proportional to 140,260.94, 193,560.81 and 76,598.74

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Solution

The fourth proportional to 140,260.94, 193,560.81 and 76,598.74 is: 105,706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,260.94 : 193,560.81 = 76,598.74 : x
  2. Step 2: Convert to fraction form
    140,260.94/193,560.81 = 76,598.74/x
  3. Step 3: Cross multiply
    140,260.94x = 193,560.81 × 76,598.74
  4. Step 4: Simplify right side
    140,260.94x = 14,826,514,159.38
  5. Step 5: Solve for x
    x = 14,826,514,159.38/140,260.94
  6. Step 6: Final answer
    x = 105,706.65

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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.