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Finding the Fourth Proportional to 214,274.82, 295,697.62 and 117,477.53

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Solution

The fourth proportional to 214,274.82, 295,697.62 and 117,477.53 is: 162,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,274.82 : 295,697.62 = 117,477.53 : x
  2. Step 2: Convert to fraction form
    214,274.82/295,697.62 = 117,477.53/x
  3. Step 3: Cross multiply
    214,274.82x = 295,697.62 × 117,477.53
  4. Step 4: Simplify right side
    214,274.82x = 34,737,826,024.48
  5. Step 5: Solve for x
    x = 34,737,826,024.48/214,274.82
  6. Step 6: Final answer
    x = 162,118.10

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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.