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Finding the Fourth Proportional to 156,946.95, 235,420.43 and 156,946.95

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Solution

The fourth proportional to 156,946.95, 235,420.43 and 156,946.95 is: 235,420.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,946.95 : 235,420.43 = 156,946.95 : x
  2. Step 2: Convert to fraction form
    156,946.95/235,420.43 = 156,946.95/x
  3. Step 3: Cross multiply
    156,946.95x = 235,420.43 × 156,946.95
  4. Step 4: Simplify right side
    156,946.95x = 36,948,517,671.45
  5. Step 5: Solve for x
    x = 36,948,517,671.45/156,946.95
  6. Step 6: Final answer
    x = 235,420.43

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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.