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Finding the Fourth Proportional to 102,365.60, 141,263.06 and 57,045.49

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Solution

The fourth proportional to 102,365.60, 141,263.06 and 57,045.49 is: 78,721.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,365.60 : 141,263.06 = 57,045.49 : x
  2. Step 2: Convert to fraction form
    102,365.60/141,263.06 = 57,045.49/x
  3. Step 3: Cross multiply
    102,365.60x = 141,263.06 × 57,045.49
  4. Step 4: Simplify right side
    102,365.60x = 8,058,419,838.21
  5. Step 5: Solve for x
    x = 8,058,419,838.21/102,365.60
  6. Step 6: Final answer
    x = 78,721.96

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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.