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Finding the Fourth Proportional to 233,855.93, 322,713.32 and 147,861.20

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Solution

The fourth proportional to 233,855.93, 322,713.32 and 147,861.20 is: 204,043.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,855.93 : 322,713.32 = 147,861.20 : x
  2. Step 2: Convert to fraction form
    233,855.93/322,713.32 = 147,861.20/x
  3. Step 3: Cross multiply
    233,855.93x = 322,713.32 × 147,861.20
  4. Step 4: Simplify right side
    233,855.93x = 47,716,778,751.18
  5. Step 5: Solve for x
    x = 47,716,778,751.18/233,855.93
  6. Step 6: Final answer
    x = 204,043.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.