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Finding the Fourth Proportional to 211,345.30, 291,676.70 and 120,714.81

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Solution

The fourth proportional to 211,345.30, 291,676.70 and 120,714.81 is: 166,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,345.30 : 291,676.70 = 120,714.81 : x
  2. Step 2: Convert to fraction form
    211,345.30/291,676.70 = 120,714.81/x
  3. Step 3: Cross multiply
    211,345.30x = 291,676.70 × 120,714.81
  4. Step 4: Simplify right side
    211,345.30x = 35,209,695,950.91
  5. Step 5: Solve for x
    x = 35,209,695,950.91/211,345.30
  6. Step 6: Final answer
    x = 166,597.96

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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.