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Finding the Fourth Proportional to 283,460, 391,174.80 and 156,135.20

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Solution

The fourth proportional to 283,460, 391,174.80 and 156,135.20 is: 215,466.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,460 : 391,174.80 = 156,135.20 : x
  2. Step 2: Convert to fraction form
    283,460/391,174.80 = 156,135.20/x
  3. Step 3: Cross multiply
    283,460x = 391,174.80 × 156,135.20
  4. Step 4: Simplify right side
    283,460x = 61,076,155,632.96
  5. Step 5: Solve for x
    x = 61,076,155,632.96/283,460
  6. Step 6: Final answer
    x = 215,466.58

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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.