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Finding the Fourth Proportional to 259,557.84, 358,184.88 and 146,380.56

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Solution

The fourth proportional to 259,557.84, 358,184.88 and 146,380.56 is: 202,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,557.84 : 358,184.88 = 146,380.56 : x
  2. Step 2: Convert to fraction form
    259,557.84/358,184.88 = 146,380.56/x
  3. Step 3: Cross multiply
    259,557.84x = 358,184.88 × 146,380.56
  4. Step 4: Simplify right side
    259,557.84x = 52,431,303,317.93
  5. Step 5: Solve for x
    x = 52,431,303,317.93/259,557.84
  6. Step 6: Final answer
    x = 202,002.39

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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.