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Finding the Fourth Proportional to 188,643.69, 282,970.40 and 55,528.29

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Solution

The fourth proportional to 188,643.69, 282,970.40 and 55,528.29 is: 83,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,643.69 : 282,970.40 = 55,528.29 : x
  2. Step 2: Convert to fraction form
    188,643.69/282,970.40 = 55,528.29/x
  3. Step 3: Cross multiply
    188,643.69x = 282,970.40 × 55,528.29
  4. Step 4: Simplify right side
    188,643.69x = 15,712,862,432.62
  5. Step 5: Solve for x
    x = 15,712,862,432.62/188,643.69
  6. Step 6: Final answer
    x = 83,293.87

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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.