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Finding the Fourth Proportional to 223,593.84, 308,756.88 and 152,144.55

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Solution

The fourth proportional to 223,593.84, 308,756.88 and 152,144.55 is: 210,093.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,593.84 : 308,756.88 = 152,144.55 : x
  2. Step 2: Convert to fraction form
    223,593.84/308,756.88 = 152,144.55/x
  3. Step 3: Cross multiply
    223,593.84x = 308,756.88 × 152,144.55
  4. Step 4: Simplify right side
    223,593.84x = 46,975,676,567.00
  5. Step 5: Solve for x
    x = 46,975,676,567.00/223,593.84
  6. Step 6: Final answer
    x = 210,093.79

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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.