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Finding the Fourth Proportional to 211,145.85, 291,386.01 and 120,500.01

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Solution

The fourth proportional to 211,145.85, 291,386.01 and 120,500.01 is: 166,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,145.85 : 291,386.01 = 120,500.01 : x
  2. Step 2: Convert to fraction form
    211,145.85/291,386.01 = 120,500.01/x
  3. Step 3: Cross multiply
    211,145.85x = 291,386.01 × 120,500.01
  4. Step 4: Simplify right side
    211,145.85x = 35,112,017,118.86
  5. Step 5: Solve for x
    x = 35,112,017,118.86/211,145.85
  6. Step 6: Final answer
    x = 166,292.72

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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.