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Finding the Fourth Proportional to 188,592.68, 282,880.51 and 55,477.28

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Solution

The fourth proportional to 188,592.68, 282,880.51 and 55,477.28 is: 83,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,592.68 : 282,880.51 = 55,477.28 : x
  2. Step 2: Convert to fraction form
    188,592.68/282,880.51 = 55,477.28/x
  3. Step 3: Cross multiply
    188,592.68x = 282,880.51 × 55,477.28
  4. Step 4: Simplify right side
    188,592.68x = 15,693,441,259.81
  5. Step 5: Solve for x
    x = 15,693,441,259.81/188,592.68
  6. Step 6: Final answer
    x = 83,213.42

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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.