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Finding the Fourth Proportional to 190,937.52, 286,487.28 and 102,168

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Solution

The fourth proportional to 190,937.52, 286,487.28 and 102,168 is: 153,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,937.52 : 286,487.28 = 102,168 : x
  2. Step 2: Convert to fraction form
    190,937.52/286,487.28 = 102,168/x
  3. Step 3: Cross multiply
    190,937.52x = 286,487.28 × 102,168
  4. Step 4: Simplify right side
    190,937.52x = 29,269,832,423.04
  5. Step 5: Solve for x
    x = 29,269,832,423.04/190,937.52
  6. Step 6: Final answer
    x = 153,295.34

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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.