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Finding the Fourth Proportional to 266,312.64, 367,503.12 and 145,452

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Solution

The fourth proportional to 266,312.64, 367,503.12 and 145,452 is: 200,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,312.64 : 367,503.12 = 145,452 : x
  2. Step 2: Convert to fraction form
    266,312.64/367,503.12 = 145,452/x
  3. Step 3: Cross multiply
    266,312.64x = 367,503.12 × 145,452
  4. Step 4: Simplify right side
    266,312.64x = 53,454,063,810.24
  5. Step 5: Solve for x
    x = 53,454,063,810.24/266,312.64
  6. Step 6: Final answer
    x = 200,719.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.