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Finding the Fourth Proportional to 211,144.85, 291,384.63 and 120,499.01

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Solution

The fourth proportional to 211,144.85, 291,384.63 and 120,499.01 is: 166,291.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,144.85 : 291,384.63 = 120,499.01 : x
  2. Step 2: Convert to fraction form
    211,144.85/291,384.63 = 120,499.01/x
  3. Step 3: Cross multiply
    211,144.85x = 291,384.63 × 120,499.01
  4. Step 4: Simplify right side
    211,144.85x = 35,111,559,444.22
  5. Step 5: Solve for x
    x = 35,111,559,444.22/211,144.85
  6. Step 6: Final answer
    x = 166,291.34

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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.