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Finding the Fourth Proportional to 73,009.20, 102,282 and 73,009.20

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Solution

The fourth proportional to 73,009.20, 102,282 and 73,009.20 is: 102,282

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,009.20 : 102,282 = 73,009.20 : x
  2. Step 2: Convert to fraction form
    73,009.20/102,282 = 73,009.20/x
  3. Step 3: Cross multiply
    73,009.20x = 102,282 × 73,009.20
  4. Step 4: Simplify right side
    73,009.20x = 7,467,526,994.40
  5. Step 5: Solve for x
    x = 7,467,526,994.40/73,009.20
  6. Step 6: Final answer
    x = 102,282

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.