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Finding the Fourth Proportional to 211,082.17, 291,292.95 and 114,285.55

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Solution

The fourth proportional to 211,082.17, 291,292.95 and 114,285.55 is: 157,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,082.17 : 291,292.95 = 114,285.55 : x
  2. Step 2: Convert to fraction form
    211,082.17/291,292.95 = 114,285.55/x
  3. Step 3: Cross multiply
    211,082.17x = 291,292.95 × 114,285.55
  4. Step 4: Simplify right side
    211,082.17x = 33,290,573,845.07
  5. Step 5: Solve for x
    x = 33,290,573,845.07/211,082.17
  6. Step 6: Final answer
    x = 157,713.81

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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.