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Finding the Fourth Proportional to 102,238.70, 141,085.95 and 57,518.06

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Solution

The fourth proportional to 102,238.70, 141,085.95 and 57,518.06 is: 79,372.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,238.70 : 141,085.95 = 57,518.06 : x
  2. Step 2: Convert to fraction form
    102,238.70/141,085.95 = 57,518.06/x
  3. Step 3: Cross multiply
    102,238.70x = 141,085.95 × 57,518.06
  4. Step 4: Simplify right side
    102,238.70x = 8,114,990,137.26
  5. Step 5: Solve for x
    x = 8,114,990,137.26/102,238.70
  6. Step 6: Final answer
    x = 79,372.98

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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.