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Finding the Fourth Proportional to 117,417.15, 162,034.77 and 65,734.29

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Solution

The fourth proportional to 117,417.15, 162,034.77 and 65,734.29 is: 90,712.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,417.15 : 162,034.77 = 65,734.29 : x
  2. Step 2: Convert to fraction form
    117,417.15/162,034.77 = 65,734.29/x
  3. Step 3: Cross multiply
    117,417.15x = 162,034.77 × 65,734.29
  4. Step 4: Simplify right side
    117,417.15x = 10,651,240,561.26
  5. Step 5: Solve for x
    x = 10,651,240,561.26/117,417.15
  6. Step 6: Final answer
    x = 90,712.82

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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.