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Finding the Fourth Proportional to 147,058.42, 202,976.67 and 83,433.46

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Solution

The fourth proportional to 147,058.42, 202,976.67 and 83,433.46 is: 115,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,058.42 : 202,976.67 = 83,433.46 : x
  2. Step 2: Convert to fraction form
    147,058.42/202,976.67 = 83,433.46/x
  3. Step 3: Cross multiply
    147,058.42x = 202,976.67 × 83,433.46
  4. Step 4: Simplify right side
    147,058.42x = 16,935,045,877.38
  5. Step 5: Solve for x
    x = 16,935,045,877.38/147,058.42
  6. Step 6: Final answer
    x = 115,158.63

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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.