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Finding the Fourth Proportional to 211,066.56, 291,244.77 and 120,417.30

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Solution

The fourth proportional to 211,066.56, 291,244.77 and 120,417.30 is: 166,160.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,066.56 : 291,244.77 = 120,417.30 : x
  2. Step 2: Convert to fraction form
    211,066.56/291,244.77 = 120,417.30/x
  3. Step 3: Cross multiply
    211,066.56x = 291,244.77 × 120,417.30
  4. Step 4: Simplify right side
    211,066.56x = 35,070,908,842.52
  5. Step 5: Solve for x
    x = 35,070,908,842.52/211,066.56
  6. Step 6: Final answer
    x = 166,160.42

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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.