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Finding the Fourth Proportional to 148,502, 204,848.92 and 88,013.23

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Solution

The fourth proportional to 148,502, 204,848.92 and 88,013.23 is: 121,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,502 : 204,848.92 = 88,013.23 : x
  2. Step 2: Convert to fraction form
    148,502/204,848.92 = 88,013.23/x
  3. Step 3: Cross multiply
    148,502x = 204,848.92 × 88,013.23
  4. Step 4: Simplify right side
    148,502x = 18,029,415,111.21
  5. Step 5: Solve for x
    x = 18,029,415,111.21/148,502
  6. Step 6: Final answer
    x = 121,408.57

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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.