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Finding the Fourth Proportional to 255,287.71, 382,931.38 and 114,882.31

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Solution

The fourth proportional to 255,287.71, 382,931.38 and 114,882.31 is: 172,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,287.71 : 382,931.38 = 114,882.31 : x
  2. Step 2: Convert to fraction form
    255,287.71/382,931.38 = 114,882.31/x
  3. Step 3: Cross multiply
    255,287.71x = 382,931.38 × 114,882.31
  4. Step 4: Simplify right side
    255,287.71x = 43,992,041,505.89
  5. Step 5: Solve for x
    x = 43,992,041,505.89/255,287.71
  6. Step 6: Final answer
    x = 172,323.38

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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.