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Finding the Fourth Proportional to 137,478.16, 189,710.88 and 80,878.60

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Solution

The fourth proportional to 137,478.16, 189,710.88 and 80,878.60 is: 111,607.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,478.16 : 189,710.88 = 80,878.60 : x
  2. Step 2: Convert to fraction form
    137,478.16/189,710.88 = 80,878.60/x
  3. Step 3: Cross multiply
    137,478.16x = 189,710.88 × 80,878.60
  4. Step 4: Simplify right side
    137,478.16x = 15,343,550,379.17
  5. Step 5: Solve for x
    x = 15,343,550,379.17/137,478.16
  6. Step 6: Final answer
    x = 111,607.18

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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.