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Finding the Fourth Proportional to 153,188.14, 211,295.72 and 99,377

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Solution

The fourth proportional to 153,188.14, 211,295.72 and 99,377 is: 137,072.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,188.14 : 211,295.72 = 99,377 : x
  2. Step 2: Convert to fraction form
    153,188.14/211,295.72 = 99,377/x
  3. Step 3: Cross multiply
    153,188.14x = 211,295.72 × 99,377
  4. Step 4: Simplify right side
    153,188.14x = 20,997,934,766.44
  5. Step 5: Solve for x
    x = 20,997,934,766.44/153,188.14
  6. Step 6: Final answer
    x = 137,072.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.