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Finding the Fourth Proportional to 259,470.78, 358,069.05 and 146,292.72

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Solution

The fourth proportional to 259,470.78, 358,069.05 and 146,292.72 is: 201,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,470.78 : 358,069.05 = 146,292.72 : x
  2. Step 2: Convert to fraction form
    259,470.78/358,069.05 = 146,292.72/x
  3. Step 3: Cross multiply
    259,470.78x = 358,069.05 × 146,292.72
  4. Step 4: Simplify right side
    259,470.78x = 52,382,895,272.32
  5. Step 5: Solve for x
    x = 52,382,895,272.32/259,470.78
  6. Step 6: Final answer
    x = 201,883.60

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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.