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Finding the Fourth Proportional to 259,097.76, 357,545.43 and 144,370.47

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Solution

The fourth proportional to 259,097.76, 357,545.43 and 144,370.47 is: 199,225.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,097.76 : 357,545.43 = 144,370.47 : x
  2. Step 2: Convert to fraction form
    259,097.76/357,545.43 = 144,370.47/x
  3. Step 3: Cross multiply
    259,097.76x = 357,545.43 × 144,370.47
  4. Step 4: Simplify right side
    259,097.76x = 51,619,001,775.45
  5. Step 5: Solve for x
    x = 51,619,001,775.45/259,097.76
  6. Step 6: Final answer
    x = 199,225.97

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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.