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Finding the Fourth Proportional to 259,886.64, 358,645.56 and 152,458.44

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Solution

The fourth proportional to 259,886.64, 358,645.56 and 152,458.44 is: 210,393.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,886.64 : 358,645.56 = 152,458.44 : x
  2. Step 2: Convert to fraction form
    259,886.64/358,645.56 = 152,458.44/x
  3. Step 3: Cross multiply
    259,886.64x = 358,645.56 × 152,458.44
  4. Step 4: Simplify right side
    259,886.64x = 54,678,542,590.53
  5. Step 5: Solve for x
    x = 54,678,542,590.53/259,886.64
  6. Step 6: Final answer
    x = 210,393.82

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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.