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Finding the Fourth Proportional to 188,298.49, 282,447.50 and 48,057.12

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Solution

The fourth proportional to 188,298.49, 282,447.50 and 48,057.12 is: 72,085.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,298.49 : 282,447.50 = 48,057.12 : x
  2. Step 2: Convert to fraction form
    188,298.49/282,447.50 = 48,057.12/x
  3. Step 3: Cross multiply
    188,298.49x = 282,447.50 × 48,057.12
  4. Step 4: Simplify right side
    188,298.49x = 13,573,613,401.20
  5. Step 5: Solve for x
    x = 13,573,613,401.20/188,298.49
  6. Step 6: Final answer
    x = 72,085.62

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1.5x scale

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.