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Finding the Fourth Proportional to 501,101.84, 751,572.74 and 146,032.80

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Solution

The fourth proportional to 501,101.84, 751,572.74 and 146,032.80 is: 219,025.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,101.84 : 751,572.74 = 146,032.80 : x
  2. Step 2: Convert to fraction form
    501,101.84/751,572.74 = 146,032.80/x
  3. Step 3: Cross multiply
    501,101.84x = 751,572.74 × 146,032.80
  4. Step 4: Simplify right side
    501,101.84x = 109,754,271,625.87
  5. Step 5: Solve for x
    x = 109,754,271,625.87/501,101.84
  6. Step 6: Final answer
    x = 219,025.88

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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.