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Finding the Fourth Proportional to 102,927.95, 142,013.57 and 59,309.77

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Solution

The fourth proportional to 102,927.95, 142,013.57 and 59,309.77 is: 81,831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,927.95 : 142,013.57 = 59,309.77 : x
  2. Step 2: Convert to fraction form
    102,927.95/142,013.57 = 59,309.77/x
  3. Step 3: Cross multiply
    102,927.95x = 142,013.57 × 59,309.77
  4. Step 4: Simplify right side
    102,927.95x = 8,422,792,121.89
  5. Step 5: Solve for x
    x = 8,422,792,121.89/102,927.95
  6. Step 6: Final answer
    x = 81,831.92

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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.