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Finding the Fourth Proportional to 156,671.40, 235,160.70 and 77,874.60

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Solution

The fourth proportional to 156,671.40, 235,160.70 and 77,874.60 is: 116,888.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,671.40 : 235,160.70 = 77,874.60 : x
  2. Step 2: Convert to fraction form
    156,671.40/235,160.70 = 77,874.60/x
  3. Step 3: Cross multiply
    156,671.40x = 235,160.70 × 77,874.60
  4. Step 4: Simplify right side
    156,671.40x = 18,313,045,448.22
  5. Step 5: Solve for x
    x = 18,313,045,448.22/156,671.40
  6. Step 6: Final answer
    x = 116,888.25

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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.