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Finding the Fourth Proportional to 156,909, 235,363.50 and 46,101

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Solution

The fourth proportional to 156,909, 235,363.50 and 46,101 is: 69,151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,909 : 235,363.50 = 46,101 : x
  2. Step 2: Convert to fraction form
    156,909/235,363.50 = 46,101/x
  3. Step 3: Cross multiply
    156,909x = 235,363.50 × 46,101
  4. Step 4: Simplify right side
    156,909x = 10,850,492,713.50
  5. Step 5: Solve for x
    x = 10,850,492,713.50/156,909
  6. Step 6: Final answer
    x = 69,151.50

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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.