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Finding the Fourth Proportional to 140,364.46, 193,703.44 and 76,702.24

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Solution

The fourth proportional to 140,364.46, 193,703.44 and 76,702.24 is: 105,849.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,364.46 : 193,703.44 = 76,702.24 : x
  2. Step 2: Convert to fraction form
    140,364.46/193,703.44 = 76,702.24/x
  3. Step 3: Cross multiply
    140,364.46x = 193,703.44 × 76,702.24
  4. Step 4: Simplify right side
    140,364.46x = 14,857,487,743.71
  5. Step 5: Solve for x
    x = 14,857,487,743.71/140,364.46
  6. Step 6: Final answer
    x = 105,849.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.