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Finding the Fourth Proportional to 212,649.41, 293,452.91 and 117,159.53

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Solution

The fourth proportional to 212,649.41, 293,452.91 and 117,159.53 is: 161,678.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,649.41 : 293,452.91 = 117,159.53 : x
  2. Step 2: Convert to fraction form
    212,649.41/293,452.91 = 117,159.53/x
  3. Step 3: Cross multiply
    212,649.41x = 293,452.91 × 117,159.53
  4. Step 4: Simplify right side
    212,649.41x = 34,380,803,399.02
  5. Step 5: Solve for x
    x = 34,380,803,399.02/212,649.41
  6. Step 6: Final answer
    x = 161,678.34

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