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Finding the Fourth Proportional to 102,344.98, 141,246.47 and 57,030.34

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Solution

The fourth proportional to 102,344.98, 141,246.47 and 57,030.34 is: 78,707.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,344.98 : 141,246.47 = 57,030.34 : x
  2. Step 2: Convert to fraction form
    102,344.98/141,246.47 = 57,030.34/x
  3. Step 3: Cross multiply
    102,344.98x = 141,246.47 × 57,030.34
  4. Step 4: Simplify right side
    102,344.98x = 8,055,333,216.52
  5. Step 5: Solve for x
    x = 8,055,333,216.52/102,344.98
  6. Step 6: Final answer
    x = 78,707.66

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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.