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Finding the Fourth Proportional to 255,287.46, 382,931.01 and 114,882.06

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Solution

The fourth proportional to 255,287.46, 382,931.01 and 114,882.06 is: 172,323.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,287.46 : 382,931.01 = 114,882.06 : x
  2. Step 2: Convert to fraction form
    255,287.46/382,931.01 = 114,882.06/x
  3. Step 3: Cross multiply
    255,287.46x = 382,931.01 × 114,882.06
  4. Step 4: Simplify right side
    255,287.46x = 43,991,903,266.68
  5. Step 5: Solve for x
    x = 43,991,903,266.68/255,287.46
  6. Step 6: Final answer
    x = 172,323.01

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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.