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Finding the Fourth Proportional to 259,518.70, 358,074.57 and 146,319.58

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Solution

The fourth proportional to 259,518.70, 358,074.57 and 146,319.58 is: 201,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,518.70 : 358,074.57 = 146,319.58 : x
  2. Step 2: Convert to fraction form
    259,518.70/358,074.57 = 146,319.58/x
  3. Step 3: Cross multiply
    259,518.70x = 358,074.57 × 146,319.58
  4. Step 4: Simplify right side
    259,518.70x = 52,393,320,691.08
  5. Step 5: Solve for x
    x = 52,393,320,691.08/259,518.70
  6. Step 6: Final answer
    x = 201,886.49

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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.