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Finding the Fourth Proportional to 202,706.92, 279,705.81 and 115,492.87

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Solution

The fourth proportional to 202,706.92, 279,705.81 and 115,492.87 is: 159,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,706.92 : 279,705.81 = 115,492.87 : x
  2. Step 2: Convert to fraction form
    202,706.92/279,705.81 = 115,492.87/x
  3. Step 3: Cross multiply
    202,706.92x = 279,705.81 × 115,492.87
  4. Step 4: Simplify right side
    202,706.92x = 32,304,026,752.57
  5. Step 5: Solve for x
    x = 32,304,026,752.57/202,706.92
  6. Step 6: Final answer
    x = 159,363.22

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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.