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Finding the Fourth Proportional to 122,540.34, 183,810.52 and 39,434.34

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Solution

The fourth proportional to 122,540.34, 183,810.52 and 39,434.34 is: 59,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,540.34 : 183,810.52 = 39,434.34 : x
  2. Step 2: Convert to fraction form
    122,540.34/183,810.52 = 39,434.34/x
  3. Step 3: Cross multiply
    122,540.34x = 183,810.52 × 39,434.34
  4. Step 4: Simplify right side
    122,540.34x = 7,248,447,058.02
  5. Step 5: Solve for x
    x = 7,248,447,058.02/122,540.34
  6. Step 6: Final answer
    x = 59,151.52

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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.