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Finding the Fourth Proportional to 190,657.65, 285,988.17 and 48,503.10

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Solution

The fourth proportional to 190,657.65, 285,988.17 and 48,503.10 is: 72,755.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,657.65 : 285,988.17 = 48,503.10 : x
  2. Step 2: Convert to fraction form
    190,657.65/285,988.17 = 48,503.10/x
  3. Step 3: Cross multiply
    190,657.65x = 285,988.17 × 48,503.10
  4. Step 4: Simplify right side
    190,657.65x = 13,871,313,789.84
  5. Step 5: Solve for x
    x = 13,871,313,789.84/190,657.65
  6. Step 6: Final answer
    x = 72,755.09

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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.