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Finding the Fourth Proportional to 200,008.86, 299,968.80 and 57,823.08

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Solution

The fourth proportional to 200,008.86, 299,968.80 and 57,823.08 is: 86,721.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,008.86 : 299,968.80 = 57,823.08 : x
  2. Step 2: Convert to fraction form
    200,008.86/299,968.80 = 57,823.08/x
  3. Step 3: Cross multiply
    200,008.86x = 299,968.80 × 57,823.08
  4. Step 4: Simplify right side
    200,008.86x = 17,345,119,919.90
  5. Step 5: Solve for x
    x = 17,345,119,919.90/200,008.86
  6. Step 6: Final answer
    x = 86,721.76

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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.