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Finding the Fourth Proportional to 148,649.38, 205,136.28 and 84,988.51

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Solution

The fourth proportional to 148,649.38, 205,136.28 and 84,988.51 is: 117,284.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,649.38 : 205,136.28 = 84,988.51 : x
  2. Step 2: Convert to fraction form
    148,649.38/205,136.28 = 84,988.51/x
  3. Step 3: Cross multiply
    148,649.38x = 205,136.28 × 84,988.51
  4. Step 4: Simplify right side
    148,649.38x = 17,434,226,271.30
  5. Step 5: Solve for x
    x = 17,434,226,271.30/148,649.38
  6. Step 6: Final answer
    x = 117,284.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.