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Finding the Fourth Proportional to 117,543.89, 176,340.21 and 53,471.51

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Solution

The fourth proportional to 117,543.89, 176,340.21 and 53,471.51 is: 80,218.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,543.89 : 176,340.21 = 53,471.51 : x
  2. Step 2: Convert to fraction form
    117,543.89/176,340.21 = 53,471.51/x
  3. Step 3: Cross multiply
    117,543.89x = 176,340.21 × 53,471.51
  4. Step 4: Simplify right side
    117,543.89x = 9,429,176,881.47
  5. Step 5: Solve for x
    x = 9,429,176,881.47/117,543.89
  6. Step 6: Final answer
    x = 80,218.35

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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.