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Finding the Fourth Proportional to 169,496.50, 233,075.73 and 147,101.62

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Solution

The fourth proportional to 169,496.50, 233,075.73 and 147,101.62 is: 202,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,496.50 : 233,075.73 = 147,101.62 : x
  2. Step 2: Convert to fraction form
    169,496.50/233,075.73 = 147,101.62/x
  3. Step 3: Cross multiply
    169,496.50x = 233,075.73 × 147,101.62
  4. Step 4: Simplify right side
    169,496.50x = 34,285,817,465.68
  5. Step 5: Solve for x
    x = 34,285,817,465.68/169,496.50
  6. Step 6: Final answer
    x = 202,280.39

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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.