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Finding the Fourth Proportional to 200,253.21, 299,792.97 and 105,259.65

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Solution

The fourth proportional to 200,253.21, 299,792.97 and 105,259.65 is: 157,581.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,253.21 : 299,792.97 = 105,259.65 : x
  2. Step 2: Convert to fraction form
    200,253.21/299,792.97 = 105,259.65/x
  3. Step 3: Cross multiply
    200,253.21x = 299,792.97 × 105,259.65
  4. Step 4: Simplify right side
    200,253.21x = 31,556,103,094.66
  5. Step 5: Solve for x
    x = 31,556,103,094.66/200,253.21
  6. Step 6: Final answer
    x = 157,581.01

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1.5x scale

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.