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Finding the Fourth Proportional to 211,031.30, 291,231.06 and 120,402.02

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Solution

The fourth proportional to 211,031.30, 291,231.06 and 120,402.02 is: 166,159.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,031.30 : 291,231.06 = 120,402.02 : x
  2. Step 2: Convert to fraction form
    211,031.30/291,231.06 = 120,402.02/x
  3. Step 3: Cross multiply
    211,031.30x = 291,231.06 × 120,402.02
  4. Step 4: Simplify right side
    211,031.30x = 35,064,807,910.74
  5. Step 5: Solve for x
    x = 35,064,807,910.74/211,031.30
  6. Step 6: Final answer
    x = 166,159.28

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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.