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Finding the Fourth Proportional to 156,688.40, 235,054.20 and 56,824.40

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Solution

The fourth proportional to 156,688.40, 235,054.20 and 56,824.40 is: 85,244.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,688.40 : 235,054.20 = 56,824.40 : x
  2. Step 2: Convert to fraction form
    156,688.40/235,054.20 = 56,824.40/x
  3. Step 3: Cross multiply
    156,688.40x = 235,054.20 × 56,824.40
  4. Step 4: Simplify right side
    156,688.40x = 13,356,813,882.48
  5. Step 5: Solve for x
    x = 13,356,813,882.48/156,688.40
  6. Step 6: Final answer
    x = 85,244.43

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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.