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Finding the Fourth Proportional to 101,541.63, 140,132.63 and 56,224.63

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Solution

The fourth proportional to 101,541.63, 140,132.63 and 56,224.63 is: 77,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,541.63 : 140,132.63 = 56,224.63 : x
  2. Step 2: Convert to fraction form
    101,541.63/140,132.63 = 56,224.63/x
  3. Step 3: Cross multiply
    101,541.63x = 140,132.63 × 56,224.63
  4. Step 4: Simplify right side
    101,541.63x = 7,878,905,588.40
  5. Step 5: Solve for x
    x = 7,878,905,588.40/101,541.63
  6. Step 6: Final answer
    x = 77,592.86

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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.