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Finding the Fourth Proportional to 101,657.30, 140,282.97 and 56,335.94

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Solution

The fourth proportional to 101,657.30, 140,282.97 and 56,335.94 is: 77,741.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,657.30 : 140,282.97 = 56,335.94 : x
  2. Step 2: Convert to fraction form
    101,657.30/140,282.97 = 56,335.94/x
  3. Step 3: Cross multiply
    101,657.30x = 140,282.97 × 56,335.94
  4. Step 4: Simplify right side
    101,657.30x = 7,902,972,980.94
  5. Step 5: Solve for x
    x = 7,902,972,980.94/101,657.30
  6. Step 6: Final answer
    x = 77,741.32

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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.