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Finding the Fourth Proportional to 202,587, 279,570.06 and 113,163

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Solution

The fourth proportional to 202,587, 279,570.06 and 113,163 is: 156,164.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,587 : 279,570.06 = 113,163 : x
  2. Step 2: Convert to fraction form
    202,587/279,570.06 = 113,163/x
  3. Step 3: Cross multiply
    202,587x = 279,570.06 × 113,163
  4. Step 4: Simplify right side
    202,587x = 31,636,986,699.78
  5. Step 5: Solve for x
    x = 31,636,986,699.78/202,587
  6. Step 6: Final answer
    x = 156,164.94

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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.