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Finding the Fourth Proportional to 99,320, 148,950.84 and 29,182.64

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Solution

The fourth proportional to 99,320, 148,950.84 and 29,182.64 is: 43,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,320 : 148,950.84 = 29,182.64 : x
  2. Step 2: Convert to fraction form
    99,320/148,950.84 = 29,182.64/x
  3. Step 3: Cross multiply
    99,320x = 148,950.84 × 29,182.64
  4. Step 4: Simplify right side
    99,320x = 4,346,778,741.42
  5. Step 5: Solve for x
    x = 4,346,778,741.42/99,320
  6. Step 6: Final answer
    x = 43,765.39

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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.