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Finding the Fourth Proportional to 242,842.29, 364,230.63 and 65,359.95

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Solution

The fourth proportional to 242,842.29, 364,230.63 and 65,359.95 is: 98,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,842.29 : 364,230.63 = 65,359.95 : x
  2. Step 2: Convert to fraction form
    242,842.29/364,230.63 = 65,359.95/x
  3. Step 3: Cross multiply
    242,842.29x = 364,230.63 × 65,359.95
  4. Step 4: Simplify right side
    242,842.29x = 23,806,095,765.27
  5. Step 5: Solve for x
    x = 23,806,095,765.27/242,842.29
  6. Step 6: Final answer
    x = 98,031.10

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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.