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Finding the Fourth Proportional to 156,687.40, 235,052.70 and 56,823.40

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Solution

The fourth proportional to 156,687.40, 235,052.70 and 56,823.40 is: 85,242.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,687.40 : 235,052.70 = 56,823.40 : x
  2. Step 2: Convert to fraction form
    156,687.40/235,052.70 = 56,823.40/x
  3. Step 3: Cross multiply
    156,687.40x = 235,052.70 × 56,823.40
  4. Step 4: Simplify right side
    156,687.40x = 13,356,493,593.18
  5. Step 5: Solve for x
    x = 13,356,493,593.18/156,687.40
  6. Step 6: Final answer
    x = 85,242.93

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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.