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Finding the Fourth Proportional to 210,952.08, 291,114.54 and 115,464.96

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Solution

The fourth proportional to 210,952.08, 291,114.54 and 115,464.96 is: 159,342.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,952.08 : 291,114.54 = 115,464.96 : x
  2. Step 2: Convert to fraction form
    210,952.08/291,114.54 = 115,464.96/x
  3. Step 3: Cross multiply
    210,952.08x = 291,114.54 × 115,464.96
  4. Step 4: Simplify right side
    210,952.08x = 33,613,528,716.52
  5. Step 5: Solve for x
    x = 33,613,528,716.52/210,952.08
  6. Step 6: Final answer
    x = 159,342.01

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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.