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Finding the Fourth Proportional to 147,744.98, 205,264.56 and 145,973.51

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Solution

The fourth proportional to 147,744.98, 205,264.56 and 145,973.51 is: 202,803.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,744.98 : 205,264.56 = 145,973.51 : x
  2. Step 2: Convert to fraction form
    147,744.98/205,264.56 = 145,973.51/x
  3. Step 3: Cross multiply
    147,744.98x = 205,264.56 × 145,973.51
  4. Step 4: Simplify right side
    147,744.98x = 29,963,187,936.87
  5. Step 5: Solve for x
    x = 29,963,187,936.87/147,744.98
  6. Step 6: Final answer
    x = 202,803.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.