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Finding the Fourth Proportional to 231,407, 346,977.66 and 91,089.08

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Solution

The fourth proportional to 231,407, 346,977.66 and 91,089.08 is: 136,581.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,407 : 346,977.66 = 91,089.08 : x
  2. Step 2: Convert to fraction form
    231,407/346,977.66 = 91,089.08/x
  3. Step 3: Cross multiply
    231,407x = 346,977.66 × 91,089.08
  4. Step 4: Simplify right side
    231,407x = 31,605,875,829.95
  5. Step 5: Solve for x
    x = 31,605,875,829.95/231,407
  6. Step 6: Final answer
    x = 136,581.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.