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Finding the Fourth Proportional to 259,844.50, 358,585.59 and 140,612.50

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Solution

The fourth proportional to 259,844.50, 358,585.59 and 140,612.50 is: 194,045.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,844.50 : 358,585.59 = 140,612.50 : x
  2. Step 2: Convert to fraction form
    259,844.50/358,585.59 = 140,612.50/x
  3. Step 3: Cross multiply
    259,844.50x = 358,585.59 × 140,612.50
  4. Step 4: Simplify right side
    259,844.50x = 50,421,616,273.88
  5. Step 5: Solve for x
    x = 50,421,616,273.88/259,844.50
  6. Step 6: Final answer
    x = 194,045.35

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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.