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Finding the Fourth Proportional to 214,083.16, 295,422.12 and 117,267.76

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Solution

The fourth proportional to 214,083.16, 295,422.12 and 117,267.76 is: 161,822.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,083.16 : 295,422.12 = 117,267.76 : x
  2. Step 2: Convert to fraction form
    214,083.16/295,422.12 = 117,267.76/x
  3. Step 3: Cross multiply
    214,083.16x = 295,422.12 × 117,267.76
  4. Step 4: Simplify right side
    214,083.16x = 34,643,490,266.85
  5. Step 5: Solve for x
    x = 34,643,490,266.85/214,083.16
  6. Step 6: Final answer
    x = 161,822.58

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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.