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Finding the Fourth Proportional to 223,201.84, 307,807.68 and 146,585.92

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Solution

The fourth proportional to 223,201.84, 307,807.68 and 146,585.92 is: 202,150.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,201.84 : 307,807.68 = 146,585.92 : x
  2. Step 2: Convert to fraction form
    223,201.84/307,807.68 = 146,585.92/x
  3. Step 3: Cross multiply
    223,201.84x = 307,807.68 × 146,585.92
  4. Step 4: Simplify right side
    223,201.84x = 45,120,271,955.87
  5. Step 5: Solve for x
    x = 45,120,271,955.87/223,201.84
  6. Step 6: Final answer
    x = 202,150.09

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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.