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Finding the Fourth Proportional to 359,148.96, 538,723.44 and 109,830.96

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Solution

The fourth proportional to 359,148.96, 538,723.44 and 109,830.96 is: 164,746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,148.96 : 538,723.44 = 109,830.96 : x
  2. Step 2: Convert to fraction form
    359,148.96/538,723.44 = 109,830.96/x
  3. Step 3: Cross multiply
    359,148.96x = 538,723.44 × 109,830.96
  4. Step 4: Simplify right side
    359,148.96x = 59,168,512,589.70
  5. Step 5: Solve for x
    x = 59,168,512,589.70/359,148.96
  6. Step 6: Final answer
    x = 164,746.44

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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.