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Finding the Fourth Proportional to 233,296.32, 349,719.12 and 75,417.60

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Solution

The fourth proportional to 233,296.32, 349,719.12 and 75,417.60 is: 113,053.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,296.32 : 349,719.12 = 75,417.60 : x
  2. Step 2: Convert to fraction form
    233,296.32/349,719.12 = 75,417.60/x
  3. Step 3: Cross multiply
    233,296.32x = 349,719.12 × 75,417.60
  4. Step 4: Simplify right side
    233,296.32x = 26,374,976,704.51
  5. Step 5: Solve for x
    x = 26,374,976,704.51/233,296.32
  6. Step 6: Final answer
    x = 113,053.55

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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.