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Finding the Fourth Proportional to 235,473.84, 353,211.12 and 109,045.20

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Solution

The fourth proportional to 235,473.84, 353,211.12 and 109,045.20 is: 163,567.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,473.84 : 353,211.12 = 109,045.20 : x
  2. Step 2: Convert to fraction form
    235,473.84/353,211.12 = 109,045.20/x
  3. Step 3: Cross multiply
    235,473.84x = 353,211.12 × 109,045.20
  4. Step 4: Simplify right side
    235,473.84x = 38,515,977,222.62
  5. Step 5: Solve for x
    x = 38,515,977,222.62/235,473.84
  6. Step 6: Final answer
    x = 163,567.97

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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.