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Finding the Fourth Proportional to 148,641.66, 205,295.85 and 97,881.32

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Solution

The fourth proportional to 148,641.66, 205,295.85 and 97,881.32 is: 135,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,641.66 : 205,295.85 = 97,881.32 : x
  2. Step 2: Convert to fraction form
    148,641.66/205,295.85 = 97,881.32/x
  3. Step 3: Cross multiply
    148,641.66x = 205,295.85 × 97,881.32
  4. Step 4: Simplify right side
    148,641.66x = 20,094,629,301.76
  5. Step 5: Solve for x
    x = 20,094,629,301.76/148,641.66
  6. Step 6: Final answer
    x = 135,188.41

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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.