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Finding the Fourth Proportional to 230,502.34, 345,548.30 and 90,358.66

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Solution

The fourth proportional to 230,502.34, 345,548.30 and 90,358.66 is: 135,457.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,502.34 : 345,548.30 = 90,358.66 : x
  2. Step 2: Convert to fraction form
    230,502.34/345,548.30 = 90,358.66/x
  3. Step 3: Cross multiply
    230,502.34x = 345,548.30 × 90,358.66
  4. Step 4: Simplify right side
    230,502.34x = 31,223,281,353.28
  5. Step 5: Solve for x
    x = 31,223,281,353.28/230,502.34
  6. Step 6: Final answer
    x = 135,457.55

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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.