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Finding the Fourth Proportional to 268,006.53, 369,849.73 and 147,155.65

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Solution

The fourth proportional to 268,006.53, 369,849.73 and 147,155.65 is: 203,075.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,006.53 : 369,849.73 = 147,155.65 : x
  2. Step 2: Convert to fraction form
    268,006.53/369,849.73 = 147,155.65/x
  3. Step 3: Cross multiply
    268,006.53x = 369,849.73 × 147,155.65
  4. Step 4: Simplify right side
    268,006.53x = 54,425,477,420.47
  5. Step 5: Solve for x
    x = 54,425,477,420.47/268,006.53
  6. Step 6: Final answer
    x = 203,075.19

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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.