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Finding the Fourth Proportional to 259,363.60, 357,914.64 and 144,645.68

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Solution

The fourth proportional to 259,363.60, 357,914.64 and 144,645.68 is: 199,607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,363.60 : 357,914.64 = 144,645.68 : x
  2. Step 2: Convert to fraction form
    259,363.60/357,914.64 = 144,645.68/x
  3. Step 3: Cross multiply
    259,363.60x = 357,914.64 × 144,645.68
  4. Step 4: Simplify right side
    259,363.60x = 51,770,806,484.76
  5. Step 5: Solve for x
    x = 51,770,806,484.76/259,363.60
  6. Step 6: Final answer
    x = 199,607.06

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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.