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Finding the Fourth Proportional to 299,053.65, 448,625.03 and 106,913.55

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Solution

The fourth proportional to 299,053.65, 448,625.03 and 106,913.55 is: 160,386.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,053.65 : 448,625.03 = 106,913.55 : x
  2. Step 2: Convert to fraction form
    299,053.65/448,625.03 = 106,913.55/x
  3. Step 3: Cross multiply
    299,053.65x = 448,625.03 × 106,913.55
  4. Step 4: Simplify right side
    299,053.65x = 47,964,094,041.59
  5. Step 5: Solve for x
    x = 47,964,094,041.59/299,053.65
  6. Step 6: Final answer
    x = 160,386.25

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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.