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Finding the Fourth Proportional to 209,756.62, 289,468.61 and 114,263.11

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Solution

The fourth proportional to 209,756.62, 289,468.61 and 114,263.11 is: 157,685.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,756.62 : 289,468.61 = 114,263.11 : x
  2. Step 2: Convert to fraction form
    209,756.62/289,468.61 = 114,263.11/x
  3. Step 3: Cross multiply
    209,756.62x = 289,468.61 × 114,263.11
  4. Step 4: Simplify right side
    209,756.62x = 33,075,583,054.66
  5. Step 5: Solve for x
    x = 33,075,583,054.66/209,756.62
  6. Step 6: Final answer
    x = 157,685.53

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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.