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Finding the Fourth Proportional to 265,887.64, 366,926.10 and 145,031.53

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Solution

The fourth proportional to 265,887.64, 366,926.10 and 145,031.53 is: 200,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,887.64 : 366,926.10 = 145,031.53 : x
  2. Step 2: Convert to fraction form
    265,887.64/366,926.10 = 145,031.53/x
  3. Step 3: Cross multiply
    265,887.64x = 366,926.10 × 145,031.53
  4. Step 4: Simplify right side
    265,887.64x = 53,215,851,120.14
  5. Step 5: Solve for x
    x = 53,215,851,120.14/265,887.64
  6. Step 6: Final answer
    x = 200,144.13

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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.