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Finding the Fourth Proportional to 199,405.44, 299,151.36 and 59,160

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Solution

The fourth proportional to 199,405.44, 299,151.36 and 59,160 is: 88,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,405.44 : 299,151.36 = 59,160 : x
  2. Step 2: Convert to fraction form
    199,405.44/299,151.36 = 59,160/x
  3. Step 3: Cross multiply
    199,405.44x = 299,151.36 × 59,160
  4. Step 4: Simplify right side
    199,405.44x = 17,697,794,457.60
  5. Step 5: Solve for x
    x = 17,697,794,457.60/199,405.44
  6. Step 6: Final answer
    x = 88,752.82

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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.