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Finding the Fourth Proportional to 242,826.93, 364,152.92 and 102,596.49

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Solution

The fourth proportional to 242,826.93, 364,152.92 and 102,596.49 is: 153,857.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,826.93 : 364,152.92 = 102,596.49 : x
  2. Step 2: Convert to fraction form
    242,826.93/364,152.92 = 102,596.49/x
  3. Step 3: Cross multiply
    242,826.93x = 364,152.92 × 102,596.49
  4. Step 4: Simplify right side
    242,826.93x = 37,360,810,902.27
  5. Step 5: Solve for x
    x = 37,360,810,902.27/242,826.93
  6. Step 6: Final answer
    x = 153,857.77

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