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Finding the Fourth Proportional to 99,233, 136,941.54 and 54,521

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Solution

The fourth proportional to 99,233, 136,941.54 and 54,521 is: 75,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,233 : 136,941.54 = 54,521 : x
  2. Step 2: Convert to fraction form
    99,233/136,941.54 = 54,521/x
  3. Step 3: Cross multiply
    99,233x = 136,941.54 × 54,521
  4. Step 4: Simplify right side
    99,233x = 7,466,189,702.34
  5. Step 5: Solve for x
    x = 7,466,189,702.34/99,233
  6. Step 6: Final answer
    x = 75,238.98

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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.