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Finding the Fourth Proportional to 211,147.88, 291,384.15 and 115,656.17

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Solution

The fourth proportional to 211,147.88, 291,384.15 and 115,656.17 is: 159,605.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,147.88 : 291,384.15 = 115,656.17 : x
  2. Step 2: Convert to fraction form
    211,147.88/291,384.15 = 115,656.17/x
  3. Step 3: Cross multiply
    211,147.88x = 291,384.15 × 115,656.17
  4. Step 4: Simplify right side
    211,147.88x = 33,700,374,787.71
  5. Step 5: Solve for x
    x = 33,700,374,787.71/211,147.88
  6. Step 6: Final answer
    x = 159,605.56

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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.