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Finding the Fourth Proportional to 186,912, 280,368 and 55,584

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Solution

The fourth proportional to 186,912, 280,368 and 55,584 is: 83,376

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,912 : 280,368 = 55,584 : x
  2. Step 2: Convert to fraction form
    186,912/280,368 = 55,584/x
  3. Step 3: Cross multiply
    186,912x = 280,368 × 55,584
  4. Step 4: Simplify right side
    186,912x = 15,583,974,912
  5. Step 5: Solve for x
    x = 15,583,974,912/186,912
  6. Step 6: Final answer
    x = 83,376

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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.