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Finding the Fourth Proportional to 152,302.80, 227,935.80 and 133,640.40

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Solution

The fourth proportional to 152,302.80, 227,935.80 and 133,640.40 is: 200,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,302.80 : 227,935.80 = 133,640.40 : x
  2. Step 2: Convert to fraction form
    152,302.80/227,935.80 = 133,640.40/x
  3. Step 3: Cross multiply
    152,302.80x = 227,935.80 × 133,640.40
  4. Step 4: Simplify right side
    152,302.80x = 30,461,431,486.32
  5. Step 5: Solve for x
    x = 30,461,431,486.32/152,302.80
  6. Step 6: Final answer
    x = 200,005.72

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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.