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Finding the Fourth Proportional to 223,807.60, 308,919.70 and 146,294.52

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Solution

The fourth proportional to 223,807.60, 308,919.70 and 146,294.52 is: 201,929.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,807.60 : 308,919.70 = 146,294.52 : x
  2. Step 2: Convert to fraction form
    223,807.60/308,919.70 = 146,294.52/x
  3. Step 3: Cross multiply
    223,807.60x = 308,919.70 × 146,294.52
  4. Step 4: Simplify right side
    223,807.60x = 45,193,259,230.04
  5. Step 5: Solve for x
    x = 45,193,259,230.04/223,807.60
  6. Step 6: Final answer
    x = 201,929.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.