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Finding the Fourth Proportional to 156,182.19, 234,271.19 and 37,854.56

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Solution

The fourth proportional to 156,182.19, 234,271.19 and 37,854.56 is: 56,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,182.19 : 234,271.19 = 37,854.56 : x
  2. Step 2: Convert to fraction form
    156,182.19/234,271.19 = 37,854.56/x
  3. Step 3: Cross multiply
    156,182.19x = 234,271.19 × 37,854.56
  4. Step 4: Simplify right side
    156,182.19x = 8,868,231,457.50
  5. Step 5: Solve for x
    x = 8,868,231,457.50/156,182.19
  6. Step 6: Final answer
    x = 56,781.32

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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.