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Finding the Fourth Proportional to 233,171.76, 349,758.20 and 64,701.13

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Solution

The fourth proportional to 233,171.76, 349,758.20 and 64,701.13 is: 97,051.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,171.76 : 349,758.20 = 64,701.13 : x
  2. Step 2: Convert to fraction form
    233,171.76/349,758.20 = 64,701.13/x
  3. Step 3: Cross multiply
    233,171.76x = 349,758.20 × 64,701.13
  4. Step 4: Simplify right side
    233,171.76x = 22,629,750,709.92
  5. Step 5: Solve for x
    x = 22,629,750,709.92/233,171.76
  6. Step 6: Final answer
    x = 97,051.85

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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.