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Finding the Fourth Proportional to 152,221.40, 228,332.10 and 82,237.40

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Solution

The fourth proportional to 152,221.40, 228,332.10 and 82,237.40 is: 123,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,221.40 : 228,332.10 = 82,237.40 : x
  2. Step 2: Convert to fraction form
    152,221.40/228,332.10 = 82,237.40/x
  3. Step 3: Cross multiply
    152,221.40x = 228,332.10 × 82,237.40
  4. Step 4: Simplify right side
    152,221.40x = 18,777,438,240.54
  5. Step 5: Solve for x
    x = 18,777,438,240.54/152,221.40
  6. Step 6: Final answer
    x = 123,356.10

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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.