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Finding the Fourth Proportional to 242,841.40, 364,089.30 and 93,023.80

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Solution

The fourth proportional to 242,841.40, 364,089.30 and 93,023.80 is: 139,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,841.40 : 364,089.30 = 93,023.80 : x
  2. Step 2: Convert to fraction form
    242,841.40/364,089.30 = 93,023.80/x
  3. Step 3: Cross multiply
    242,841.40x = 364,089.30 × 93,023.80
  4. Step 4: Simplify right side
    242,841.40x = 33,868,970,225.34
  5. Step 5: Solve for x
    x = 33,868,970,225.34/242,841.40
  6. Step 6: Final answer
    x = 139,469.51

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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.