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Finding the Fourth Proportional to 101,717.63, 140,370.08 and 56,394.46

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Solution

The fourth proportional to 101,717.63, 140,370.08 and 56,394.46 is: 77,824.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,717.63 : 140,370.08 = 56,394.46 : x
  2. Step 2: Convert to fraction form
    101,717.63/140,370.08 = 56,394.46/x
  3. Step 3: Cross multiply
    101,717.63x = 140,370.08 × 56,394.46
  4. Step 4: Simplify right side
    101,717.63x = 7,916,094,159.91
  5. Step 5: Solve for x
    x = 7,916,094,159.91/101,717.63
  6. Step 6: Final answer
    x = 77,824.21

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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.