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Finding the Fourth Proportional to 215,117.12, 322,719.24 and 90,458

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Solution

The fourth proportional to 215,117.12, 322,719.24 and 90,458 is: 135,705.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,117.12 : 322,719.24 = 90,458 : x
  2. Step 2: Convert to fraction form
    215,117.12/322,719.24 = 90,458/x
  3. Step 3: Cross multiply
    215,117.12x = 322,719.24 × 90,458
  4. Step 4: Simplify right side
    215,117.12x = 29,192,537,011.92
  5. Step 5: Solve for x
    x = 29,192,537,011.92/215,117.12
  6. Step 6: Final answer
    x = 135,705.32

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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.