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Finding the Fourth Proportional to 200,967.84, 301,451.76 and 117,816.48

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Solution

The fourth proportional to 200,967.84, 301,451.76 and 117,816.48 is: 176,724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,967.84 : 301,451.76 = 117,816.48 : x
  2. Step 2: Convert to fraction form
    200,967.84/301,451.76 = 117,816.48/x
  3. Step 3: Cross multiply
    200,967.84x = 301,451.76 × 117,816.48
  4. Step 4: Simplify right side
    200,967.84x = 35,515,985,253.00
  5. Step 5: Solve for x
    x = 35,515,985,253.00/200,967.84
  6. Step 6: Final answer
    x = 176,724.72

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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.