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Finding the Fourth Proportional to 149,356.17, 205,973.06 and 109,006.02

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Solution

The fourth proportional to 149,356.17, 205,973.06 and 109,006.02 is: 150,327.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,356.17 : 205,973.06 = 109,006.02 : x
  2. Step 2: Convert to fraction form
    149,356.17/205,973.06 = 109,006.02/x
  3. Step 3: Cross multiply
    149,356.17x = 205,973.06 × 109,006.02
  4. Step 4: Simplify right side
    149,356.17x = 22,452,302,952.79
  5. Step 5: Solve for x
    x = 22,452,302,952.79/149,356.17
  6. Step 6: Final answer
    x = 150,327.25

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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.