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Finding the Fourth Proportional to 101,456.39, 140,013.94 and 56,133.63

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Solution

The fourth proportional to 101,456.39, 140,013.94 and 56,133.63 is: 77,466.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,456.39 : 140,013.94 = 56,133.63 : x
  2. Step 2: Convert to fraction form
    101,456.39/140,013.94 = 56,133.63/x
  3. Step 3: Cross multiply
    101,456.39x = 140,013.94 × 56,133.63
  4. Step 4: Simplify right side
    101,456.39x = 7,859,490,772.17
  5. Step 5: Solve for x
    x = 7,859,490,772.17/101,456.39
  6. Step 6: Final answer
    x = 77,466.69

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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.