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Finding the Fourth Proportional to 147,679.56, 221,464.62 and 52,894.98

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Solution

The fourth proportional to 147,679.56, 221,464.62 and 52,894.98 is: 79,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,679.56 : 221,464.62 = 52,894.98 : x
  2. Step 2: Convert to fraction form
    147,679.56/221,464.62 = 52,894.98/x
  3. Step 3: Cross multiply
    147,679.56x = 221,464.62 × 52,894.98
  4. Step 4: Simplify right side
    147,679.56x = 11,714,366,645.61
  5. Step 5: Solve for x
    x = 11,714,366,645.61/147,679.56
  6. Step 6: Final answer
    x = 79,322.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.