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Finding the Fourth Proportional to 156,877.09, 216,492.06 and 85,257.11

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Solution

The fourth proportional to 156,877.09, 216,492.06 and 85,257.11 is: 117,655.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,877.09 : 216,492.06 = 85,257.11 : x
  2. Step 2: Convert to fraction form
    156,877.09/216,492.06 = 85,257.11/x
  3. Step 3: Cross multiply
    156,877.09x = 216,492.06 × 85,257.11
  4. Step 4: Simplify right side
    156,877.09x = 18,457,487,754.92
  5. Step 5: Solve for x
    x = 18,457,487,754.92/156,877.09
  6. Step 6: Final answer
    x = 117,655.72

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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.