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Finding the Fourth Proportional to 242,986.16, 364,437.71 and 65,451.66

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Solution

The fourth proportional to 242,986.16, 364,437.71 and 65,451.66 is: 98,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,986.16 : 364,437.71 = 65,451.66 : x
  2. Step 2: Convert to fraction form
    242,986.16/364,437.71 = 65,451.66/x
  3. Step 3: Cross multiply
    242,986.16x = 364,437.71 × 65,451.66
  4. Step 4: Simplify right side
    242,986.16x = 23,853,051,392.20
  5. Step 5: Solve for x
    x = 23,853,051,392.20/242,986.16
  6. Step 6: Final answer
    x = 98,166.30

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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.