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Finding the Fourth Proportional to 147,148.47, 203,058.77 and 83,489.76

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Solution

The fourth proportional to 147,148.47, 203,058.77 and 83,489.76 is: 115,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,148.47 : 203,058.77 = 83,489.76 : x
  2. Step 2: Convert to fraction form
    147,148.47/203,058.77 = 83,489.76/x
  3. Step 3: Cross multiply
    147,148.47x = 203,058.77 × 83,489.76
  4. Step 4: Simplify right side
    147,148.47x = 16,953,327,555.75
  5. Step 5: Solve for x
    x = 16,953,327,555.75/147,148.47
  6. Step 6: Final answer
    x = 115,212.39

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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.