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Finding the Fourth Proportional to 281,294.72, 388,187.94 and 152,233.22

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Solution

The fourth proportional to 281,294.72, 388,187.94 and 152,233.22 is: 210,082.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,294.72 : 388,187.94 = 152,233.22 : x
  2. Step 2: Convert to fraction form
    281,294.72/388,187.94 = 152,233.22/x
  3. Step 3: Cross multiply
    281,294.72x = 388,187.94 × 152,233.22
  4. Step 4: Simplify right side
    281,294.72x = 59,095,098,130.43
  5. Step 5: Solve for x
    x = 59,095,098,130.43/281,294.72
  6. Step 6: Final answer
    x = 210,082.50

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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.