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Finding the Fourth Proportional to 156,892.14, 235,264.30 and 56,981.88

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Solution

The fourth proportional to 156,892.14, 235,264.30 and 56,981.88 is: 85,445.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,892.14 : 235,264.30 = 56,981.88 : x
  2. Step 2: Convert to fraction form
    156,892.14/235,264.30 = 56,981.88/x
  3. Step 3: Cross multiply
    156,892.14x = 235,264.30 × 56,981.88
  4. Step 4: Simplify right side
    156,892.14x = 13,405,801,968.43
  5. Step 5: Solve for x
    x = 13,405,801,968.43/156,892.14
  6. Step 6: Final answer
    x = 85,445.98

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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.