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Finding the Fourth Proportional to 188,294, 282,440.76 and 48,052.62

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Solution

The fourth proportional to 188,294, 282,440.76 and 48,052.62 is: 72,078.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,294 : 282,440.76 = 48,052.62 : x
  2. Step 2: Convert to fraction form
    188,294/282,440.76 = 48,052.62/x
  3. Step 3: Cross multiply
    188,294x = 282,440.76 × 48,052.62
  4. Step 4: Simplify right side
    188,294x = 13,572,018,512.79
  5. Step 5: Solve for x
    x = 13,572,018,512.79/188,294
  6. Step 6: Final answer
    x = 72,078.87

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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.