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Finding the Fourth Proportional to 156,148.84, 234,223.86 and 37,820

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Solution

The fourth proportional to 156,148.84, 234,223.86 and 37,820 is: 56,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,148.84 : 234,223.86 = 37,820 : x
  2. Step 2: Convert to fraction form
    156,148.84/234,223.86 = 37,820/x
  3. Step 3: Cross multiply
    156,148.84x = 234,223.86 × 37,820
  4. Step 4: Simplify right side
    156,148.84x = 8,858,346,385.20
  5. Step 5: Solve for x
    x = 8,858,346,385.20/156,148.84
  6. Step 6: Final answer
    x = 56,730.15

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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.