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Finding the Fourth Proportional to 99,237, 136,947.06 and 54,525

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Solution

The fourth proportional to 99,237, 136,947.06 and 54,525 is: 75,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,237 : 136,947.06 = 54,525 : x
  2. Step 2: Convert to fraction form
    99,237/136,947.06 = 54,525/x
  3. Step 3: Cross multiply
    99,237x = 136,947.06 × 54,525
  4. Step 4: Simplify right side
    99,237x = 7,467,038,446.50
  5. Step 5: Solve for x
    x = 7,467,038,446.50/99,237
  6. Step 6: Final answer
    x = 75,244.50

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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.