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Finding the Fourth Proportional to 263,613.80, 395,315.10 and 97,364.84

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Solution

The fourth proportional to 263,613.80, 395,315.10 and 97,364.84 is: 146,008.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,613.80 : 395,315.10 = 97,364.84 : x
  2. Step 2: Convert to fraction form
    263,613.80/395,315.10 = 97,364.84/x
  3. Step 3: Cross multiply
    263,613.80x = 395,315.10 × 97,364.84
  4. Step 4: Simplify right side
    263,613.80x = 38,489,791,461.08
  5. Step 5: Solve for x
    x = 38,489,791,461.08/263,613.80
  6. Step 6: Final answer
    x = 146,008.26

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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.