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Finding the Fourth Proportional to 313,305.07, 469,934.24 and 100,095.51

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Solution

The fourth proportional to 313,305.07, 469,934.24 and 100,095.51 is: 150,135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,305.07 : 469,934.24 = 100,095.51 : x
  2. Step 2: Convert to fraction form
    313,305.07/469,934.24 = 100,095.51/x
  3. Step 3: Cross multiply
    313,305.07x = 469,934.24 × 100,095.51
  4. Step 4: Simplify right side
    313,305.07x = 47,038,307,419.26
  5. Step 5: Solve for x
    x = 47,038,307,419.26/313,305.07
  6. Step 6: Final answer
    x = 150,135.80

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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.