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Finding the Fourth Proportional to 242,901.20, 364,092.60 and 93,083.60

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Solution

The fourth proportional to 242,901.20, 364,092.60 and 93,083.60 is: 139,526.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,901.20 : 364,092.60 = 93,083.60 : x
  2. Step 2: Convert to fraction form
    242,901.20/364,092.60 = 93,083.60/x
  3. Step 3: Cross multiply
    242,901.20x = 364,092.60 × 93,083.60
  4. Step 4: Simplify right side
    242,901.20x = 33,891,049,941.36
  5. Step 5: Solve for x
    x = 33,891,049,941.36/242,901.20
  6. Step 6: Final answer
    x = 139,526.07

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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.