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Finding the Fourth Proportional to 229,118.85, 343,678.28 and 149,404.05

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Solution

The fourth proportional to 229,118.85, 343,678.28 and 149,404.05 is: 224,106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,118.85 : 343,678.28 = 149,404.05 : x
  2. Step 2: Convert to fraction form
    229,118.85/343,678.28 = 149,404.05/x
  3. Step 3: Cross multiply
    229,118.85x = 343,678.28 × 149,404.05
  4. Step 4: Simplify right side
    229,118.85x = 51,346,926,182.01
  5. Step 5: Solve for x
    x = 51,346,926,182.01/229,118.85
  6. Step 6: Final answer
    x = 224,106.08

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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.