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Finding the Fourth Proportional to 233,943.90, 350,332.65 and 187,287.90

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Solution

The fourth proportional to 233,943.90, 350,332.65 and 187,287.90 is: 280,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,943.90 : 350,332.65 = 187,287.90 : x
  2. Step 2: Convert to fraction form
    233,943.90/350,332.65 = 187,287.90/x
  3. Step 3: Cross multiply
    233,943.90x = 350,332.65 × 187,287.90
  4. Step 4: Simplify right side
    233,943.90x = 65,613,066,319.94
  5. Step 5: Solve for x
    x = 65,613,066,319.94/233,943.90
  6. Step 6: Final answer
    x = 280,464.96

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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.