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Finding the Fourth Proportional to 103,302.98, 142,552.10 and 57,976.72

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Solution

The fourth proportional to 103,302.98, 142,552.10 and 57,976.72 is: 80,004.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,302.98 : 142,552.10 = 57,976.72 : x
  2. Step 2: Convert to fraction form
    103,302.98/142,552.10 = 57,976.72/x
  3. Step 3: Cross multiply
    103,302.98x = 142,552.10 × 57,976.72
  4. Step 4: Simplify right side
    103,302.98x = 8,264,703,187.11
  5. Step 5: Solve for x
    x = 8,264,703,187.11/103,302.98
  6. Step 6: Final answer
    x = 80,004.50

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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.