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Finding the Fourth Proportional to 173,876.40, 260,814.60 and 134,461.80

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Solution

The fourth proportional to 173,876.40, 260,814.60 and 134,461.80 is: 201,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,876.40 : 260,814.60 = 134,461.80 : x
  2. Step 2: Convert to fraction form
    173,876.40/260,814.60 = 134,461.80/x
  3. Step 3: Cross multiply
    173,876.40x = 260,814.60 × 134,461.80
  4. Step 4: Simplify right side
    173,876.40x = 35,069,600,582.28
  5. Step 5: Solve for x
    x = 35,069,600,582.28/173,876.40
  6. Step 6: Final answer
    x = 201,692.70

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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.