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Finding the Fourth Proportional to 137,065.42, 189,151.59 and 80,477.74

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Solution

The fourth proportional to 137,065.42, 189,151.59 and 80,477.74 is: 111,060.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,065.42 : 189,151.59 = 80,477.74 : x
  2. Step 2: Convert to fraction form
    137,065.42/189,151.59 = 80,477.74/x
  3. Step 3: Cross multiply
    137,065.42x = 189,151.59 × 80,477.74
  4. Step 4: Simplify right side
    137,065.42x = 15,222,492,480.61
  5. Step 5: Solve for x
    x = 15,222,492,480.61/137,065.42
  6. Step 6: Final answer
    x = 111,060.05

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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.