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Finding the Fourth Proportional to 114,075, 157,424.04 and 63,774

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Solution

The fourth proportional to 114,075, 157,424.04 and 63,774 is: 88,008.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,075 : 157,424.04 = 63,774 : x
  2. Step 2: Convert to fraction form
    114,075/157,424.04 = 63,774/x
  3. Step 3: Cross multiply
    114,075x = 157,424.04 × 63,774
  4. Step 4: Simplify right side
    114,075x = 10,039,560,726.96
  5. Step 5: Solve for x
    x = 10,039,560,726.96/114,075
  6. Step 6: Final answer
    x = 88,008.42

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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.