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Finding the Fourth Proportional to 177,694.40, 266,587.76 and 53,035.36

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Solution

The fourth proportional to 177,694.40, 266,587.76 and 53,035.36 is: 79,566.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,694.40 : 266,587.76 = 53,035.36 : x
  2. Step 2: Convert to fraction form
    177,694.40/266,587.76 = 53,035.36/x
  3. Step 3: Cross multiply
    177,694.40x = 266,587.76 × 53,035.36
  4. Step 4: Simplify right side
    177,694.40x = 14,138,577,823.19
  5. Step 5: Solve for x
    x = 14,138,577,823.19/177,694.40
  6. Step 6: Final answer
    x = 79,566.82

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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.