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Finding the Fourth Proportional to 301,711.06, 452,624.91 and 102,063.88

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Solution

The fourth proportional to 301,711.06, 452,624.91 and 102,063.88 is: 153,115.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,711.06 : 452,624.91 = 102,063.88 : x
  2. Step 2: Convert to fraction form
    301,711.06/452,624.91 = 102,063.88/x
  3. Step 3: Cross multiply
    301,711.06x = 452,624.91 × 102,063.88
  4. Step 4: Simplify right side
    301,711.06x = 46,196,654,499.25
  5. Step 5: Solve for x
    x = 46,196,654,499.25/301,711.06
  6. Step 6: Final answer
    x = 153,115.55

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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.