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Finding the Fourth Proportional to 148,599.92, 205,147.45 and 114,533.75

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Solution

The fourth proportional to 148,599.92, 205,147.45 and 114,533.75 is: 158,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,599.92 : 205,147.45 = 114,533.75 : x
  2. Step 2: Convert to fraction form
    148,599.92/205,147.45 = 114,533.75/x
  3. Step 3: Cross multiply
    148,599.92x = 205,147.45 × 114,533.75
  4. Step 4: Simplify right side
    148,599.92x = 23,496,307,407.47
  5. Step 5: Solve for x
    x = 23,496,307,407.47/148,599.92
  6. Step 6: Final answer
    x = 158,117.90

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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.