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Finding the Fourth Proportional to 117,854.19, 176,809.37 and 34,748.19

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Solution

The fourth proportional to 117,854.19, 176,809.37 and 34,748.19 is: 52,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,854.19 : 176,809.37 = 34,748.19 : x
  2. Step 2: Convert to fraction form
    117,854.19/176,809.37 = 34,748.19/x
  3. Step 3: Cross multiply
    117,854.19x = 176,809.37 × 34,748.19
  4. Step 4: Simplify right side
    117,854.19x = 6,143,805,408.80
  5. Step 5: Solve for x
    x = 6,143,805,408.80/117,854.19
  6. Step 6: Final answer
    x = 52,130.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.