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Finding the Fourth Proportional to 190,834, 286,251.12 and 59,506

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Solution

The fourth proportional to 190,834, 286,251.12 and 59,506 is: 89,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,834 : 286,251.12 = 59,506 : x
  2. Step 2: Convert to fraction form
    190,834/286,251.12 = 59,506/x
  3. Step 3: Cross multiply
    190,834x = 286,251.12 × 59,506
  4. Step 4: Simplify right side
    190,834x = 17,033,659,146.72
  5. Step 5: Solve for x
    x = 17,033,659,146.72/190,834
  6. Step 6: Final answer
    x = 89,259.04

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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.