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Finding the Fourth Proportional to 313,133.86, 469,496.67 and 133,125.94

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Solution

The fourth proportional to 313,133.86, 469,496.67 and 133,125.94 is: 199,602.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,133.86 : 469,496.67 = 133,125.94 : x
  2. Step 2: Convert to fraction form
    313,133.86/469,496.67 = 133,125.94/x
  3. Step 3: Cross multiply
    313,133.86x = 469,496.67 × 133,125.94
  4. Step 4: Simplify right side
    313,133.86x = 62,502,185,520.62
  5. Step 5: Solve for x
    x = 62,502,185,520.62/313,133.86
  6. Step 6: Final answer
    x = 199,602.13

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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.