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Finding the Fourth Proportional to 265,909.68, 366,962.27 and 145,053

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Solution

The fourth proportional to 265,909.68, 366,962.27 and 145,053 is: 200,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,909.68 : 366,962.27 = 145,053 : x
  2. Step 2: Convert to fraction form
    265,909.68/366,962.27 = 145,053/x
  3. Step 3: Cross multiply
    265,909.68x = 366,962.27 × 145,053
  4. Step 4: Simplify right side
    265,909.68x = 53,228,977,425.05
  5. Step 5: Solve for x
    x = 53,228,977,425.05/265,909.68
  6. Step 6: Final answer
    x = 200,176.91

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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.