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Finding the Fourth Proportional to 177,262.14, 265,710.81 and 77,403.66

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Solution

The fourth proportional to 177,262.14, 265,710.81 and 77,403.66 is: 116,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,262.14 : 265,710.81 = 77,403.66 : x
  2. Step 2: Convert to fraction form
    177,262.14/265,710.81 = 77,403.66/x
  3. Step 3: Cross multiply
    177,262.14x = 265,710.81 × 77,403.66
  4. Step 4: Simplify right side
    177,262.14x = 20,566,989,195.56
  5. Step 5: Solve for x
    x = 20,566,989,195.56/177,262.14
  6. Step 6: Final answer
    x = 116,025.84

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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.