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Finding the Fourth Proportional to 358,897.20, 538,151.40 and 148,297.20

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Solution

The fourth proportional to 358,897.20, 538,151.40 and 148,297.20 is: 222,365.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,897.20 : 538,151.40 = 148,297.20 : x
  2. Step 2: Convert to fraction form
    358,897.20/538,151.40 = 148,297.20/x
  3. Step 3: Cross multiply
    358,897.20x = 538,151.40 × 148,297.20
  4. Step 4: Simplify right side
    358,897.20x = 79,806,345,796.08
  5. Step 5: Solve for x
    x = 79,806,345,796.08/358,897.20
  6. Step 6: Final answer
    x = 222,365.47

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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.