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Finding the Fourth Proportional to 156,804.88, 235,243.80 and 51,624.76

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Solution

The fourth proportional to 156,804.88, 235,243.80 and 51,624.76 is: 77,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,804.88 : 235,243.80 = 51,624.76 : x
  2. Step 2: Convert to fraction form
    156,804.88/235,243.80 = 51,624.76/x
  3. Step 3: Cross multiply
    156,804.88x = 235,243.80 × 51,624.76
  4. Step 4: Simplify right side
    156,804.88x = 12,144,404,716.49
  5. Step 5: Solve for x
    x = 12,144,404,716.49/156,804.88
  6. Step 6: Final answer
    x = 77,449.15

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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.