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Finding the Fourth Proportional to 188,663.68, 282,898.12 and 55,526.64

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Solution

The fourth proportional to 188,663.68, 282,898.12 and 55,526.64 is: 83,261.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,663.68 : 282,898.12 = 55,526.64 : x
  2. Step 2: Convert to fraction form
    188,663.68/282,898.12 = 55,526.64/x
  3. Step 3: Cross multiply
    188,663.68x = 282,898.12 × 55,526.64
  4. Step 4: Simplify right side
    188,663.68x = 15,708,382,065.92
  5. Step 5: Solve for x
    x = 15,708,382,065.92/188,663.68
  6. Step 6: Final answer
    x = 83,261.29

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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.