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Finding the Fourth Proportional to 242,529.78, 363,950.32 and 162,657.92

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Solution

The fourth proportional to 242,529.78, 363,950.32 and 162,657.92 is: 244,091.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,529.78 : 363,950.32 = 162,657.92 : x
  2. Step 2: Convert to fraction form
    242,529.78/363,950.32 = 162,657.92/x
  3. Step 3: Cross multiply
    242,529.78x = 363,950.32 × 162,657.92
  4. Step 4: Simplify right side
    242,529.78x = 59,199,402,034.53
  5. Step 5: Solve for x
    x = 59,199,402,034.53/242,529.78
  6. Step 6: Final answer
    x = 244,091.27

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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.