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Finding the Fourth Proportional to 102,392.85, 141,300 and 57,070.65

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Solution

The fourth proportional to 102,392.85, 141,300 and 57,070.65 is: 78,756.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,392.85 : 141,300 = 57,070.65 : x
  2. Step 2: Convert to fraction form
    102,392.85/141,300 = 57,070.65/x
  3. Step 3: Cross multiply
    102,392.85x = 141,300 × 57,070.65
  4. Step 4: Simplify right side
    102,392.85x = 8,064,082,845
  5. Step 5: Solve for x
    x = 8,064,082,845/102,392.85
  6. Step 6: Final answer
    x = 78,756.31

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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.