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Finding the Fourth Proportional to 190,813, 286,219.50 and 59,485

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Solution

The fourth proportional to 190,813, 286,219.50 and 59,485 is: 89,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,813 : 286,219.50 = 59,485 : x
  2. Step 2: Convert to fraction form
    190,813/286,219.50 = 59,485/x
  3. Step 3: Cross multiply
    190,813x = 286,219.50 × 59,485
  4. Step 4: Simplify right side
    190,813x = 17,025,766,957.50
  5. Step 5: Solve for x
    x = 17,025,766,957.50/190,813
  6. Step 6: Final answer
    x = 89,227.50

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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.