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Finding the Fourth Proportional to 211,145.32, 291,368.10 and 115,633

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Solution

The fourth proportional to 211,145.32, 291,368.10 and 115,633 is: 159,566.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,145.32 : 291,368.10 = 115,633 : x
  2. Step 2: Convert to fraction form
    211,145.32/291,368.10 = 115,633/x
  3. Step 3: Cross multiply
    211,145.32x = 291,368.10 × 115,633
  4. Step 4: Simplify right side
    211,145.32x = 33,691,767,507.30
  5. Step 5: Solve for x
    x = 33,691,767,507.30/211,145.32
  6. Step 6: Final answer
    x = 159,566.73

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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.