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Finding the Fourth Proportional to 148,898.58, 205,376.12 and 97,895.00

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Solution

The fourth proportional to 148,898.58, 205,376.12 and 97,895.00 is: 135,026.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,898.58 : 205,376.12 = 97,895.00 : x
  2. Step 2: Convert to fraction form
    148,898.58/205,376.12 = 97,895.00/x
  3. Step 3: Cross multiply
    148,898.58x = 205,376.12 × 97,895.00
  4. Step 4: Simplify right side
    148,898.58x = 20,105,295,658.47
  5. Step 5: Solve for x
    x = 20,105,295,658.47/148,898.58
  6. Step 6: Final answer
    x = 135,026.78

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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.