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Finding the Fourth Proportional to 203,006.76, 304,615.14 and 147,306.10

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Solution

The fourth proportional to 203,006.76, 304,615.14 and 147,306.10 is: 221,035.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,006.76 : 304,615.14 = 147,306.10 : x
  2. Step 2: Convert to fraction form
    203,006.76/304,615.14 = 147,306.10/x
  3. Step 3: Cross multiply
    203,006.76x = 304,615.14 × 147,306.10
  4. Step 4: Simplify right side
    203,006.76x = 44,871,666,014.75
  5. Step 5: Solve for x
    x = 44,871,666,014.75/203,006.76
  6. Step 6: Final answer
    x = 221,035.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.