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Finding the Fourth Proportional to 148,907.30, 223,360.95 and 65,963.30

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Solution

The fourth proportional to 148,907.30, 223,360.95 and 65,963.30 is: 98,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,907.30 : 223,360.95 = 65,963.30 : x
  2. Step 2: Convert to fraction form
    148,907.30/223,360.95 = 65,963.30/x
  3. Step 3: Cross multiply
    148,907.30x = 223,360.95 × 65,963.30
  4. Step 4: Simplify right side
    148,907.30x = 14,733,625,353.14
  5. Step 5: Solve for x
    x = 14,733,625,353.14/148,907.30
  6. Step 6: Final answer
    x = 98,944.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.