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Finding the Fourth Proportional to 211,288, 291,525.24 and 125,267.14

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Solution

The fourth proportional to 211,288, 291,525.24 and 125,267.14 is: 172,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,288 : 291,525.24 = 125,267.14 : x
  2. Step 2: Convert to fraction form
    211,288/291,525.24 = 125,267.14/x
  3. Step 3: Cross multiply
    211,288x = 291,525.24 × 125,267.14
  4. Step 4: Simplify right side
    211,288x = 36,518,533,052.61
  5. Step 5: Solve for x
    x = 36,518,533,052.61/211,288
  6. Step 6: Final answer
    x = 172,837.71

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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.