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Finding the Fourth Proportional to 223,189.30, 308,050.27 and 146,715.46

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Solution

The fourth proportional to 223,189.30, 308,050.27 and 146,715.46 is: 202,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,189.30 : 308,050.27 = 146,715.46 : x
  2. Step 2: Convert to fraction form
    223,189.30/308,050.27 = 146,715.46/x
  3. Step 3: Cross multiply
    223,189.30x = 308,050.27 × 146,715.46
  4. Step 4: Simplify right side
    223,189.30x = 45,195,737,066.17
  5. Step 5: Solve for x
    x = 45,195,737,066.17/223,189.30
  6. Step 6: Final answer
    x = 202,499.57

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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.