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Finding the Fourth Proportional to 101,801.77, 140,503.31 and 56,494.31

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Solution

The fourth proportional to 101,801.77, 140,503.31 and 56,494.31 is: 77,971.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,801.77 : 140,503.31 = 56,494.31 : x
  2. Step 2: Convert to fraction form
    101,801.77/140,503.31 = 56,494.31/x
  3. Step 3: Cross multiply
    101,801.77x = 140,503.31 × 56,494.31
  4. Step 4: Simplify right side
    101,801.77x = 7,937,636,566.18
  5. Step 5: Solve for x
    x = 7,937,636,566.18/101,801.77
  6. Step 6: Final answer
    x = 77,971.50

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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.