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Finding the Fourth Proportional to 193,000.70, 266,333.32 and 106,963.32

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Solution

The fourth proportional to 193,000.70, 266,333.32 and 106,963.32 is: 147,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,000.70 : 266,333.32 = 106,963.32 : x
  2. Step 2: Convert to fraction form
    193,000.70/266,333.32 = 106,963.32/x
  3. Step 3: Cross multiply
    193,000.70x = 266,333.32 × 106,963.32
  4. Step 4: Simplify right side
    193,000.70x = 28,487,896,290.08
  5. Step 5: Solve for x
    x = 28,487,896,290.08/193,000.70
  6. Step 6: Final answer
    x = 147,605.15

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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.