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Finding the Fourth Proportional to 188,296.50, 282,444.50 and 48,055.12

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Solution

The fourth proportional to 188,296.50, 282,444.50 and 48,055.12 is: 72,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,296.50 : 282,444.50 = 48,055.12 : x
  2. Step 2: Convert to fraction form
    188,296.50/282,444.50 = 48,055.12/x
  3. Step 3: Cross multiply
    188,296.50x = 282,444.50 × 48,055.12
  4. Step 4: Simplify right side
    188,296.50x = 13,572,904,340.84
  5. Step 5: Solve for x
    x = 13,572,904,340.84/188,296.50
  6. Step 6: Final answer
    x = 72,082.62

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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.