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Finding the Fourth Proportional to 202,000.40, 302,741.40 and 155,020.40

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Solution

The fourth proportional to 202,000.40, 302,741.40 and 155,020.40 is: 232,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,000.40 : 302,741.40 = 155,020.40 : x
  2. Step 2: Convert to fraction form
    202,000.40/302,741.40 = 155,020.40/x
  3. Step 3: Cross multiply
    202,000.40x = 302,741.40 × 155,020.40
  4. Step 4: Simplify right side
    202,000.40x = 46,931,092,924.56
  5. Step 5: Solve for x
    x = 46,931,092,924.56/202,000.40
  6. Step 6: Final answer
    x = 232,331.68

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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.