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Finding the Fourth Proportional to 117,009.82, 175,373.72 and 53,742.66

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Solution

The fourth proportional to 117,009.82, 175,373.72 and 53,742.66 is: 80,549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,009.82 : 175,373.72 = 53,742.66 : x
  2. Step 2: Convert to fraction form
    117,009.82/175,373.72 = 53,742.66/x
  3. Step 3: Cross multiply
    117,009.82x = 175,373.72 × 53,742.66
  4. Step 4: Simplify right side
    117,009.82x = 9,425,050,206.90
  5. Step 5: Solve for x
    x = 9,425,050,206.90/117,009.82
  6. Step 6: Final answer
    x = 80,549.22

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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.