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Finding the Fourth Proportional to 253,135.80, 379,703.70 and 134,746.20

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Solution

The fourth proportional to 253,135.80, 379,703.70 and 134,746.20 is: 202,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,135.80 : 379,703.70 = 134,746.20 : x
  2. Step 2: Convert to fraction form
    253,135.80/379,703.70 = 134,746.20/x
  3. Step 3: Cross multiply
    253,135.80x = 379,703.70 × 134,746.20
  4. Step 4: Simplify right side
    253,135.80x = 51,163,630,700.94
  5. Step 5: Solve for x
    x = 51,163,630,700.94/253,135.80
  6. Step 6: Final answer
    x = 202,119.30

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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.