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Finding the Fourth Proportional to 201,943.61, 278,681.03 and 111,299.65

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Solution

The fourth proportional to 201,943.61, 278,681.03 and 111,299.65 is: 153,592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,943.61 : 278,681.03 = 111,299.65 : x
  2. Step 2: Convert to fraction form
    201,943.61/278,681.03 = 111,299.65/x
  3. Step 3: Cross multiply
    201,943.61x = 278,681.03 × 111,299.65
  4. Step 4: Simplify right side
    201,943.61x = 31,017,101,100.64
  5. Step 5: Solve for x
    x = 31,017,101,100.64/201,943.61
  6. Step 6: Final answer
    x = 153,592.88

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1.5x scale

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.