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Finding the Fourth Proportional to 114,348.84, 157,748.46 and 74,075.88

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Solution

The fourth proportional to 114,348.84, 157,748.46 and 74,075.88 is: 102,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,348.84 : 157,748.46 = 74,075.88 : x
  2. Step 2: Convert to fraction form
    114,348.84/157,748.46 = 74,075.88/x
  3. Step 3: Cross multiply
    114,348.84x = 157,748.46 × 74,075.88
  4. Step 4: Simplify right side
    114,348.84x = 11,685,355,993.14
  5. Step 5: Solve for x
    x = 11,685,355,993.14/114,348.84
  6. Step 6: Final answer
    x = 102,190.42

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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.