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Finding the Fourth Proportional to 401,101.04, 601,018.68 and 148,033.28

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Solution

The fourth proportional to 401,101.04, 601,018.68 and 148,033.28 is: 221,816.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,101.04 : 601,018.68 = 148,033.28 : x
  2. Step 2: Convert to fraction form
    401,101.04/601,018.68 = 148,033.28/x
  3. Step 3: Cross multiply
    401,101.04x = 601,018.68 × 148,033.28
  4. Step 4: Simplify right side
    401,101.04x = 88,970,766,541.67
  5. Step 5: Solve for x
    x = 88,970,766,541.67/401,101.04
  6. Step 6: Final answer
    x = 221,816.34

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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.