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Finding the Fourth Proportional to 255,354.68, 382,098.90 and 150,223.16

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Solution

The fourth proportional to 255,354.68, 382,098.90 and 150,223.16 is: 224,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,354.68 : 382,098.90 = 150,223.16 : x
  2. Step 2: Convert to fraction form
    255,354.68/382,098.90 = 150,223.16/x
  3. Step 3: Cross multiply
    255,354.68x = 382,098.90 × 150,223.16
  4. Step 4: Simplify right side
    255,354.68x = 57,400,104,190.52
  5. Step 5: Solve for x
    x = 57,400,104,190.52/255,354.68
  6. Step 6: Final answer
    x = 224,785.79

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1.5x scale

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.