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Finding the Fourth Proportional to 242,827.93, 364,154.41 and 102,597.49

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Solution

The fourth proportional to 242,827.93, 364,154.41 and 102,597.49 is: 153,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,827.93 : 364,154.41 = 102,597.49 : x
  2. Step 2: Convert to fraction form
    242,827.93/364,154.41 = 102,597.49/x
  3. Step 3: Cross multiply
    242,827.93x = 364,154.41 × 102,597.49
  4. Step 4: Simplify right side
    242,827.93x = 37,361,328,438.43
  5. Step 5: Solve for x
    x = 37,361,328,438.43/242,827.93
  6. Step 6: Final answer
    x = 153,859.27

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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.