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Finding the Fourth Proportional to 259,265.68, 357,784.48 and 144,543

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Solution

The fourth proportional to 259,265.68, 357,784.48 and 144,543 is: 199,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,265.68 : 357,784.48 = 144,543 : x
  2. Step 2: Convert to fraction form
    259,265.68/357,784.48 = 144,543/x
  3. Step 3: Cross multiply
    259,265.68x = 357,784.48 × 144,543
  4. Step 4: Simplify right side
    259,265.68x = 51,715,242,092.64
  5. Step 5: Solve for x
    x = 51,715,242,092.64/259,265.68
  6. Step 6: Final answer
    x = 199,468.14

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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.