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Finding the Fourth Proportional to 99,150, 148,695.84 and 29,012.64

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Solution

The fourth proportional to 99,150, 148,695.84 and 29,012.64 is: 43,510.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,150 : 148,695.84 = 29,012.64 : x
  2. Step 2: Convert to fraction form
    99,150/148,695.84 = 29,012.64/x
  3. Step 3: Cross multiply
    99,150x = 148,695.84 × 29,012.64
  4. Step 4: Simplify right side
    99,150x = 4,314,058,875.42
  5. Step 5: Solve for x
    x = 4,314,058,875.42/99,150
  6. Step 6: Final answer
    x = 43,510.43

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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.