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Finding the Fourth Proportional to 101,802.77, 140,504.69 and 56,495.31

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Solution

The fourth proportional to 101,802.77, 140,504.69 and 56,495.31 is: 77,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,802.77 : 140,504.69 = 56,495.31 : x
  2. Step 2: Convert to fraction form
    101,802.77/140,504.69 = 56,495.31/x
  3. Step 3: Cross multiply
    101,802.77x = 140,504.69 × 56,495.31
  4. Step 4: Simplify right side
    101,802.77x = 7,937,856,018.00
  5. Step 5: Solve for x
    x = 7,937,856,018.00/101,802.77
  6. Step 6: Final answer
    x = 77,972.89

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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.