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Finding the Fourth Proportional to 177,081, 265,673.52 and 52,425.24

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Solution

The fourth proportional to 177,081, 265,673.52 and 52,425.24 is: 78,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,081 : 265,673.52 = 52,425.24 : x
  2. Step 2: Convert to fraction form
    177,081/265,673.52 = 52,425.24/x
  3. Step 3: Cross multiply
    177,081x = 265,673.52 × 52,425.24
  4. Step 4: Simplify right side
    177,081x = 13,927,998,047.64
  5. Step 5: Solve for x
    x = 13,927,998,047.64/177,081
  6. Step 6: Final answer
    x = 78,653.26

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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.