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Finding the Fourth Proportional to 99,309.16, 148,916.82 and 36,085.21

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Solution

The fourth proportional to 99,309.16, 148,916.82 and 36,085.21 is: 54,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,309.16 : 148,916.82 = 36,085.21 : x
  2. Step 2: Convert to fraction form
    99,309.16/148,916.82 = 36,085.21/x
  3. Step 3: Cross multiply
    99,309.16x = 148,916.82 × 36,085.21
  4. Step 4: Simplify right side
    99,309.16x = 5,373,694,722.23
  5. Step 5: Solve for x
    x = 5,373,694,722.23/99,309.16
  6. Step 6: Final answer
    x = 54,110.77

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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.