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Finding the Fourth Proportional to 306,816.69, 460,214.10 and 107,136.30

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Solution

The fourth proportional to 306,816.69, 460,214.10 and 107,136.30 is: 160,700.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,816.69 : 460,214.10 = 107,136.30 : x
  2. Step 2: Convert to fraction form
    306,816.69/460,214.10 = 107,136.30/x
  3. Step 3: Cross multiply
    306,816.69x = 460,214.10 × 107,136.30
  4. Step 4: Simplify right side
    306,816.69x = 49,305,635,881.83
  5. Step 5: Solve for x
    x = 49,305,635,881.83/306,816.69
  6. Step 6: Final answer
    x = 160,700.63

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1.5x scale

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.