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Finding the Fourth Proportional to 188,295.68, 282,482.40 and 55,180.28

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Solution

The fourth proportional to 188,295.68, 282,482.40 and 55,180.28 is: 82,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,295.68 : 282,482.40 = 55,180.28 : x
  2. Step 2: Convert to fraction form
    188,295.68/282,482.40 = 55,180.28/x
  3. Step 3: Cross multiply
    188,295.68x = 282,482.40 × 55,180.28
  4. Step 4: Simplify right side
    188,295.68x = 15,587,457,927.07
  5. Step 5: Solve for x
    x = 15,587,457,927.07/188,295.68
  6. Step 6: Final answer
    x = 82,781.81

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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.