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Finding the Fourth Proportional to 304,465.70, 456,799.97 and 102,081.83

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Solution

The fourth proportional to 304,465.70, 456,799.97 and 102,081.83 is: 153,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,465.70 : 456,799.97 = 102,081.83 : x
  2. Step 2: Convert to fraction form
    304,465.70/456,799.97 = 102,081.83/x
  3. Step 3: Cross multiply
    304,465.70x = 456,799.97 × 102,081.83
  4. Step 4: Simplify right side
    304,465.70x = 46,630,976,881.55
  5. Step 5: Solve for x
    x = 46,630,976,881.55/304,465.70
  6. Step 6: Final answer
    x = 153,156.75

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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.