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Finding the Fourth Proportional to 233,232.68, 349,899.96 and 75,477.08

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Solution

The fourth proportional to 233,232.68, 349,899.96 and 75,477.08 is: 113,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,232.68 : 349,899.96 = 75,477.08 : x
  2. Step 2: Convert to fraction form
    233,232.68/349,899.96 = 75,477.08/x
  3. Step 3: Cross multiply
    233,232.68x = 349,899.96 × 75,477.08
  4. Step 4: Simplify right side
    233,232.68x = 26,409,427,272.92
  5. Step 5: Solve for x
    x = 26,409,427,272.92/233,232.68
  6. Step 6: Final answer
    x = 113,232.10

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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.