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Finding the Fourth Proportional to 100,962.69, 151,276.64 and 61,400.13

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Solution

The fourth proportional to 100,962.69, 151,276.64 and 61,400.13 is: 91,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,962.69 : 151,276.64 = 61,400.13 : x
  2. Step 2: Convert to fraction form
    100,962.69/151,276.64 = 61,400.13/x
  3. Step 3: Cross multiply
    100,962.69x = 151,276.64 × 61,400.13
  4. Step 4: Simplify right side
    100,962.69x = 9,288,405,054.96
  5. Step 5: Solve for x
    x = 9,288,405,054.96/100,962.69
  6. Step 6: Final answer
    x = 91,998.39

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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.