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Finding the Fourth Proportional to 211,465.44, 291,826.32 and 115,966.40

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Solution

The fourth proportional to 211,465.44, 291,826.32 and 115,966.40 is: 160,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,465.44 : 291,826.32 = 115,966.40 : x
  2. Step 2: Convert to fraction form
    211,465.44/291,826.32 = 115,966.40/x
  3. Step 3: Cross multiply
    211,465.44x = 291,826.32 × 115,966.40
  4. Step 4: Simplify right side
    211,465.44x = 33,842,047,755.65
  5. Step 5: Solve for x
    x = 33,842,047,755.65/211,465.44
  6. Step 6: Final answer
    x = 160,035.83

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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.