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Finding the Fourth Proportional to 101,963.48, 140,732.08 and 56,657.02

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Solution

The fourth proportional to 101,963.48, 140,732.08 and 56,657.02 is: 78,199.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,963.48 : 140,732.08 = 56,657.02 : x
  2. Step 2: Convert to fraction form
    101,963.48/140,732.08 = 56,657.02/x
  3. Step 3: Cross multiply
    101,963.48x = 140,732.08 × 56,657.02
  4. Step 4: Simplify right side
    101,963.48x = 7,973,460,271.20
  5. Step 5: Solve for x
    x = 7,973,460,271.20/101,963.48
  6. Step 6: Final answer
    x = 78,199.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.