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Finding the Fourth Proportional to 231,412.01, 346,758.98 and 160,473.02

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Solution

The fourth proportional to 231,412.01, 346,758.98 and 160,473.02 is: 240,460.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,412.01 : 346,758.98 = 160,473.02 : x
  2. Step 2: Convert to fraction form
    231,412.01/346,758.98 = 160,473.02/x
  3. Step 3: Cross multiply
    231,412.01x = 346,758.98 × 160,473.02
  4. Step 4: Simplify right side
    231,412.01x = 55,645,458,196.56
  5. Step 5: Solve for x
    x = 55,645,458,196.56/231,412.01
  6. Step 6: Final answer
    x = 240,460.55

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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.