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Finding the Fourth Proportional to 242,739.52, 364,108.74 and 65,246.52

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Solution

The fourth proportional to 242,739.52, 364,108.74 and 65,246.52 is: 97,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,739.52 : 364,108.74 = 65,246.52 : x
  2. Step 2: Convert to fraction form
    242,739.52/364,108.74 = 65,246.52/x
  3. Step 3: Cross multiply
    242,739.52x = 364,108.74 × 65,246.52
  4. Step 4: Simplify right side
    242,739.52x = 23,756,828,186.58
  5. Step 5: Solve for x
    x = 23,756,828,186.58/242,739.52
  6. Step 6: Final answer
    x = 97,869.63

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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.