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Finding the Fourth Proportional to 211,384.90, 291,713.55 and 120,752.86

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Solution

The fourth proportional to 211,384.90, 291,713.55 and 120,752.86 is: 166,640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,384.90 : 291,713.55 = 120,752.86 : x
  2. Step 2: Convert to fraction form
    211,384.90/291,713.55 = 120,752.86/x
  3. Step 3: Cross multiply
    211,384.90x = 291,713.55 × 120,752.86
  4. Step 4: Simplify right side
    211,384.90x = 35,225,245,463.25
  5. Step 5: Solve for x
    x = 35,225,245,463.25/211,384.90
  6. Step 6: Final answer
    x = 166,640.31

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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.