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Finding the Fourth Proportional to 177,649.78, 245,146.29 and 97,077.94

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Solution

The fourth proportional to 177,649.78, 245,146.29 and 97,077.94 is: 133,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,649.78 : 245,146.29 = 97,077.94 : x
  2. Step 2: Convert to fraction form
    177,649.78/245,146.29 = 97,077.94/x
  3. Step 3: Cross multiply
    177,649.78x = 245,146.29 × 97,077.94
  4. Step 4: Simplify right side
    177,649.78x = 23,798,296,831.84
  5. Step 5: Solve for x
    x = 23,798,296,831.84/177,649.78
  6. Step 6: Final answer
    x = 133,961.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.