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Finding the Fourth Proportional to 142,164.56, 213,247.64 and 59,058.64

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Solution

The fourth proportional to 142,164.56, 213,247.64 and 59,058.64 is: 88,588.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,164.56 : 213,247.64 = 59,058.64 : x
  2. Step 2: Convert to fraction form
    142,164.56/213,247.64 = 59,058.64/x
  3. Step 3: Cross multiply
    142,164.56x = 213,247.64 × 59,058.64
  4. Step 4: Simplify right side
    142,164.56x = 12,594,115,601.61
  5. Step 5: Solve for x
    x = 12,594,115,601.61/142,164.56
  6. Step 6: Final answer
    x = 88,588.29

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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.