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Finding the Fourth Proportional to 242,251.56, 363,567.79 and 167,894.47

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Solution

The fourth proportional to 242,251.56, 363,567.79 and 167,894.47 is: 251,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,251.56 : 363,567.79 = 167,894.47 : x
  2. Step 2: Convert to fraction form
    242,251.56/363,567.79 = 167,894.47/x
  3. Step 3: Cross multiply
    242,251.56x = 363,567.79 × 167,894.47
  4. Step 4: Simplify right side
    242,251.56x = 61,041,022,075.45
  5. Step 5: Solve for x
    x = 61,041,022,075.45/242,251.56
  6. Step 6: Final answer
    x = 251,973.70

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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.