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Finding the Fourth Proportional to 255,353.68, 382,097.40 and 150,222.16

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Solution

The fourth proportional to 255,353.68, 382,097.40 and 150,222.16 is: 224,784.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,353.68 : 382,097.40 = 150,222.16 : x
  2. Step 2: Convert to fraction form
    255,353.68/382,097.40 = 150,222.16/x
  3. Step 3: Cross multiply
    255,353.68x = 382,097.40 × 150,222.16
  4. Step 4: Simplify right side
    255,353.68x = 57,399,496,758.38
  5. Step 5: Solve for x
    x = 57,399,496,758.38/255,353.68
  6. Step 6: Final answer
    x = 224,784.29

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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.