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Finding the Fourth Proportional to 102,521.94, 141,479.83 and 57,197.23

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Solution

The fourth proportional to 102,521.94, 141,479.83 and 57,197.23 is: 78,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,521.94 : 141,479.83 = 57,197.23 : x
  2. Step 2: Convert to fraction form
    102,521.94/141,479.83 = 57,197.23/x
  3. Step 3: Cross multiply
    102,521.94x = 141,479.83 × 57,197.23
  4. Step 4: Simplify right side
    102,521.94x = 8,092,254,376.87
  5. Step 5: Solve for x
    x = 8,092,254,376.87/102,521.94
  6. Step 6: Final answer
    x = 78,931.93

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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.