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Finding the Fourth Proportional to 177,044.40, 265,613.88 and 77,212.64

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Solution

The fourth proportional to 177,044.40, 265,613.88 and 77,212.64 is: 115,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,044.40 : 265,613.88 = 77,212.64 : x
  2. Step 2: Convert to fraction form
    177,044.40/265,613.88 = 77,212.64/x
  3. Step 3: Cross multiply
    177,044.40x = 265,613.88 × 77,212.64
  4. Step 4: Simplify right side
    177,044.40x = 20,508,748,895.44
  5. Step 5: Solve for x
    x = 20,508,748,895.44/177,044.40
  6. Step 6: Final answer
    x = 115,839.58

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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.