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Finding the Fourth Proportional to 140,085.65, 193,318.85 and 76,424.82

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Solution

The fourth proportional to 140,085.65, 193,318.85 and 76,424.82 is: 105,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,085.65 : 193,318.85 = 76,424.82 : x
  2. Step 2: Convert to fraction form
    140,085.65/193,318.85 = 76,424.82/x
  3. Step 3: Cross multiply
    140,085.65x = 193,318.85 × 76,424.82
  4. Step 4: Simplify right side
    140,085.65x = 14,774,357,779.97
  5. Step 5: Solve for x
    x = 14,774,357,779.97/140,085.65
  6. Step 6: Final answer
    x = 105,466.60

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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.