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Finding the Fourth Proportional to 214,126.53, 295,497.14 and 117,333.15

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Solution

The fourth proportional to 214,126.53, 295,497.14 and 117,333.15 is: 161,921.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,126.53 : 295,497.14 = 117,333.15 : x
  2. Step 2: Convert to fraction form
    214,126.53/295,497.14 = 117,333.15/x
  3. Step 3: Cross multiply
    214,126.53x = 295,497.14 × 117,333.15
  4. Step 4: Simplify right side
    214,126.53x = 34,671,610,252.19
  5. Step 5: Solve for x
    x = 34,671,610,252.19/214,126.53
  6. Step 6: Final answer
    x = 161,921.13

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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.