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Finding the Fourth Proportional to 150,461.73, 207,703.35 and 105,317.01

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Solution

The fourth proportional to 150,461.73, 207,703.35 and 105,317.01 is: 145,383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,461.73 : 207,703.35 = 105,317.01 : x
  2. Step 2: Convert to fraction form
    150,461.73/207,703.35 = 105,317.01/x
  3. Step 3: Cross multiply
    150,461.73x = 207,703.35 × 105,317.01
  4. Step 4: Simplify right side
    150,461.73x = 21,874,695,788.98
  5. Step 5: Solve for x
    x = 21,874,695,788.98/150,461.73
  6. Step 6: Final answer
    x = 145,383.78

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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.