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Finding the Fourth Proportional to 202,747.50, 279,767.75 and 112,098.06

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Solution

The fourth proportional to 202,747.50, 279,767.75 and 112,098.06 is: 154,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,747.50 : 279,767.75 = 112,098.06 : x
  2. Step 2: Convert to fraction form
    202,747.50/279,767.75 = 112,098.06/x
  3. Step 3: Cross multiply
    202,747.50x = 279,767.75 × 112,098.06
  4. Step 4: Simplify right side
    202,747.50x = 31,361,421,465.07
  5. Step 5: Solve for x
    x = 31,361,421,465.07/202,747.50
  6. Step 6: Final answer
    x = 154,682.16

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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.