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Finding the Fourth Proportional to 105,197.52, 145,186.32 and 59,866.74

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Solution

The fourth proportional to 105,197.52, 145,186.32 and 59,866.74 is: 82,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,197.52 : 145,186.32 = 59,866.74 : x
  2. Step 2: Convert to fraction form
    105,197.52/145,186.32 = 59,866.74/x
  3. Step 3: Cross multiply
    105,197.52x = 145,186.32 × 59,866.74
  4. Step 4: Simplify right side
    105,197.52x = 8,691,831,671.00
  5. Step 5: Solve for x
    x = 8,691,831,671.00/105,197.52
  6. Step 6: Final answer
    x = 82,623.92

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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.