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Finding the Fourth Proportional to 158,905.64, 219,227.10 and 102,349.82

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Solution

The fourth proportional to 158,905.64, 219,227.10 and 102,349.82 is: 141,202.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,905.64 : 219,227.10 = 102,349.82 : x
  2. Step 2: Convert to fraction form
    158,905.64/219,227.10 = 102,349.82/x
  3. Step 3: Cross multiply
    158,905.64x = 219,227.10 × 102,349.82
  4. Step 4: Simplify right side
    158,905.64x = 22,437,854,224.12
  5. Step 5: Solve for x
    x = 22,437,854,224.12/158,905.64
  6. Step 6: Final answer
    x = 141,202.38

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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.