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Finding the Fourth Proportional to 183,075.53, 274,657.13 and 76,400.15

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Solution

The fourth proportional to 183,075.53, 274,657.13 and 76,400.15 is: 114,618.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,075.53 : 274,657.13 = 76,400.15 : x
  2. Step 2: Convert to fraction form
    183,075.53/274,657.13 = 76,400.15/x
  3. Step 3: Cross multiply
    183,075.53x = 274,657.13 × 76,400.15
  4. Step 4: Simplify right side
    183,075.53x = 20,983,844,461.78
  5. Step 5: Solve for x
    x = 20,983,844,461.78/183,075.53
  6. Step 6: Final answer
    x = 114,618.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.