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Finding the Fourth Proportional to 140,347.67, 193,677.51 and 76,684.10

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Solution

The fourth proportional to 140,347.67, 193,677.51 and 76,684.10 is: 105,822.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,347.67 : 193,677.51 = 76,684.10 : x
  2. Step 2: Convert to fraction form
    140,347.67/193,677.51 = 76,684.10/x
  3. Step 3: Cross multiply
    140,347.67x = 193,677.51 × 76,684.10
  4. Step 4: Simplify right side
    140,347.67x = 14,851,985,544.59
  5. Step 5: Solve for x
    x = 14,851,985,544.59/140,347.67
  6. Step 6: Final answer
    x = 105,822.82

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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.