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Finding the Fourth Proportional to 199,653.65, 275,522.61 and 109,010.40

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Solution

The fourth proportional to 199,653.65, 275,522.61 and 109,010.40 is: 150,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,653.65 : 275,522.61 = 109,010.40 : x
  2. Step 2: Convert to fraction form
    199,653.65/275,522.61 = 109,010.40/x
  3. Step 3: Cross multiply
    199,653.65x = 275,522.61 × 109,010.40
  4. Step 4: Simplify right side
    199,653.65x = 30,034,829,925.14
  5. Step 5: Solve for x
    x = 30,034,829,925.14/199,653.65
  6. Step 6: Final answer
    x = 150,434.66

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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.