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Finding the Fourth Proportional to 102,389.65, 141,309.15 and 57,071.77

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Solution

The fourth proportional to 102,389.65, 141,309.15 and 57,071.77 is: 78,765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,389.65 : 141,309.15 = 57,071.77 : x
  2. Step 2: Convert to fraction form
    102,389.65/141,309.15 = 57,071.77/x
  3. Step 3: Cross multiply
    102,389.65x = 141,309.15 × 57,071.77
  4. Step 4: Simplify right side
    102,389.65x = 8,064,763,307.70
  5. Step 5: Solve for x
    x = 8,064,763,307.70/102,389.65
  6. Step 6: Final answer
    x = 78,765.42

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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.