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Finding the Fourth Proportional to 259,019.87, 357,442.02 and 144,298.35

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Solution

The fourth proportional to 259,019.87, 357,442.02 and 144,298.35 is: 199,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,019.87 : 357,442.02 = 144,298.35 : x
  2. Step 2: Convert to fraction form
    259,019.87/357,442.02 = 144,298.35/x
  3. Step 3: Cross multiply
    259,019.87x = 357,442.02 × 144,298.35
  4. Step 4: Simplify right side
    259,019.87x = 51,578,293,706.67
  5. Step 5: Solve for x
    x = 51,578,293,706.67/259,019.87
  6. Step 6: Final answer
    x = 199,128.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.