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Finding the Fourth Proportional to 188,706.08, 283,061.96 and 48,461.60

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Solution

The fourth proportional to 188,706.08, 283,061.96 and 48,461.60 is: 72,693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,706.08 : 283,061.96 = 48,461.60 : x
  2. Step 2: Convert to fraction form
    188,706.08/283,061.96 = 48,461.60/x
  3. Step 3: Cross multiply
    188,706.08x = 283,061.96 × 48,461.60
  4. Step 4: Simplify right side
    188,706.08x = 13,717,635,480.74
  5. Step 5: Solve for x
    x = 13,717,635,480.74/188,706.08
  6. Step 6: Final answer
    x = 72,693.13

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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.