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Finding the Fourth Proportional to 214,492.98, 295,432.10 and 159,870.10

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Solution

The fourth proportional to 214,492.98, 295,432.10 and 159,870.10 is: 220,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,492.98 : 295,432.10 = 159,870.10 : x
  2. Step 2: Convert to fraction form
    214,492.98/295,432.10 = 159,870.10/x
  3. Step 3: Cross multiply
    214,492.98x = 295,432.10 × 159,870.10
  4. Step 4: Simplify right side
    214,492.98x = 47,230,757,832.28
  5. Step 5: Solve for x
    x = 47,230,757,832.28/214,492.98
  6. Step 6: Final answer
    x = 220,197.22

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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.