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Finding the Fourth Proportional to 188,448.54, 282,703.56 and 55,333.14

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Solution

The fourth proportional to 188,448.54, 282,703.56 and 55,333.14 is: 83,008.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,448.54 : 282,703.56 = 55,333.14 : x
  2. Step 2: Convert to fraction form
    188,448.54/282,703.56 = 55,333.14/x
  3. Step 3: Cross multiply
    188,448.54x = 282,703.56 × 55,333.14
  4. Step 4: Simplify right side
    188,448.54x = 15,642,875,663.98
  5. Step 5: Solve for x
    x = 15,642,875,663.98/188,448.54
  6. Step 6: Final answer
    x = 83,008.74

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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.