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Finding the Fourth Proportional to 102,658.14, 154,036.40 and 50,038.92

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Solution

The fourth proportional to 102,658.14, 154,036.40 and 50,038.92 is: 75,082.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,658.14 : 154,036.40 = 50,038.92 : x
  2. Step 2: Convert to fraction form
    102,658.14/154,036.40 = 50,038.92/x
  3. Step 3: Cross multiply
    102,658.14x = 154,036.40 × 50,038.92
  4. Step 4: Simplify right side
    102,658.14x = 7,707,814,846.49
  5. Step 5: Solve for x
    x = 7,707,814,846.49/102,658.14
  6. Step 6: Final answer
    x = 75,082.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.