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Finding the Fourth Proportional to 211,495.95, 291,883.14 and 116,021.25

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Solution

The fourth proportional to 211,495.95, 291,883.14 and 116,021.25 is: 160,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,495.95 : 291,883.14 = 116,021.25 : x
  2. Step 2: Convert to fraction form
    211,495.95/291,883.14 = 116,021.25/x
  3. Step 3: Cross multiply
    211,495.95x = 291,883.14 × 116,021.25
  4. Step 4: Simplify right side
    211,495.95x = 33,864,646,756.73
  5. Step 5: Solve for x
    x = 33,864,646,756.73/211,495.95
  6. Step 6: Final answer
    x = 160,119.60

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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.