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Finding the Fourth Proportional to 101,888.20, 152,854.14 and 30,804.76

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Solution

The fourth proportional to 101,888.20, 152,854.14 and 30,804.76 is: 46,213.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,888.20 : 152,854.14 = 30,804.76 : x
  2. Step 2: Convert to fraction form
    101,888.20/152,854.14 = 30,804.76/x
  3. Step 3: Cross multiply
    101,888.20x = 152,854.14 × 30,804.76
  4. Step 4: Simplify right side
    101,888.20x = 4,708,635,097.71
  5. Step 5: Solve for x
    x = 4,708,635,097.71/101,888.20
  6. Step 6: Final answer
    x = 46,213.74

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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.