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Finding the Fourth Proportional to 106,098.16, 159,129.32 and 34,998.80

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Solution

The fourth proportional to 106,098.16, 159,129.32 and 34,998.80 is: 52,492.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,098.16 : 159,129.32 = 34,998.80 : x
  2. Step 2: Convert to fraction form
    106,098.16/159,129.32 = 34,998.80/x
  3. Step 3: Cross multiply
    106,098.16x = 159,129.32 × 34,998.80
  4. Step 4: Simplify right side
    106,098.16x = 5,569,335,244.82
  5. Step 5: Solve for x
    x = 5,569,335,244.82/106,098.16
  6. Step 6: Final answer
    x = 52,492.29

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1.5x scale

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.