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Finding the Fourth Proportional to 199,438.48, 299,070.01 and 74,692

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Solution

The fourth proportional to 199,438.48, 299,070.01 and 74,692 is: 112,005.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,438.48 : 299,070.01 = 74,692 : x
  2. Step 2: Convert to fraction form
    199,438.48/299,070.01 = 74,692/x
  3. Step 3: Cross multiply
    199,438.48x = 299,070.01 × 74,692
  4. Step 4: Simplify right side
    199,438.48x = 22,338,137,186.92
  5. Step 5: Solve for x
    x = 22,338,137,186.92/199,438.48
  6. Step 6: Final answer
    x = 112,005.15

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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.