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Finding the Fourth Proportional to 102,125.84, 140,925.42 and 56,803.91

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Solution

The fourth proportional to 102,125.84, 140,925.42 and 56,803.91 is: 78,384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,125.84 : 140,925.42 = 56,803.91 : x
  2. Step 2: Convert to fraction form
    102,125.84/140,925.42 = 56,803.91/x
  3. Step 3: Cross multiply
    102,125.84x = 140,925.42 × 56,803.91
  4. Step 4: Simplify right side
    102,125.84x = 8,005,114,169.77
  5. Step 5: Solve for x
    x = 8,005,114,169.77/102,125.84
  6. Step 6: Final answer
    x = 78,384.81

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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.