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Finding the Fourth Proportional to 259,176, 357,666.48 and 144,451.47

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Solution

The fourth proportional to 259,176, 357,666.48 and 144,451.47 is: 199,345.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,176 : 357,666.48 = 144,451.47 : x
  2. Step 2: Convert to fraction form
    259,176/357,666.48 = 144,451.47/x
  3. Step 3: Cross multiply
    259,176x = 357,666.48 × 144,451.47
  4. Step 4: Simplify right side
    259,176x = 51,665,448,805.73
  5. Step 5: Solve for x
    x = 51,665,448,805.73/259,176
  6. Step 6: Final answer
    x = 199,345.04

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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.