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Finding the Fourth Proportional to 501,101.44, 751,572.14 and 146,032.40

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Solution

The fourth proportional to 501,101.44, 751,572.14 and 146,032.40 is: 219,025.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,101.44 : 751,572.14 = 146,032.40 : x
  2. Step 2: Convert to fraction form
    501,101.44/751,572.14 = 146,032.40/x
  3. Step 3: Cross multiply
    501,101.44x = 751,572.14 × 146,032.40
  4. Step 4: Simplify right side
    501,101.44x = 109,753,883,377.34
  5. Step 5: Solve for x
    x = 109,753,883,377.34/501,101.44
  6. Step 6: Final answer
    x = 219,025.28

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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.