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Finding the Fourth Proportional to 117,753.62, 162,417.66 and 77,454.50

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Solution

The fourth proportional to 117,753.62, 162,417.66 and 77,454.50 is: 106,833.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,753.62 : 162,417.66 = 77,454.50 : x
  2. Step 2: Convert to fraction form
    117,753.62/162,417.66 = 77,454.50/x
  3. Step 3: Cross multiply
    117,753.62x = 162,417.66 × 77,454.50
  4. Step 4: Simplify right side
    117,753.62x = 12,579,977,543.93
  5. Step 5: Solve for x
    x = 12,579,977,543.93/117,753.62
  6. Step 6: Final answer
    x = 106,833.05

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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.