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Finding the Fourth Proportional to 126,415.14, 174,486.42 and 78,641.34

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Solution

The fourth proportional to 126,415.14, 174,486.42 and 78,641.34 is: 108,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,415.14 : 174,486.42 = 78,641.34 : x
  2. Step 2: Convert to fraction form
    126,415.14/174,486.42 = 78,641.34/x
  3. Step 3: Cross multiply
    126,415.14x = 174,486.42 × 78,641.34
  4. Step 4: Simplify right side
    126,415.14x = 13,721,845,880.60
  5. Step 5: Solve for x
    x = 13,721,845,880.60/126,415.14
  6. Step 6: Final answer
    x = 108,545.91

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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.