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Finding the Fourth Proportional to 157,643.62, 236,462.94 and 73,356.64

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Solution

The fourth proportional to 157,643.62, 236,462.94 and 73,356.64 is: 110,033.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,643.62 : 236,462.94 = 73,356.64 : x
  2. Step 2: Convert to fraction form
    157,643.62/236,462.94 = 73,356.64/x
  3. Step 3: Cross multiply
    157,643.62x = 236,462.94 × 73,356.64
  4. Step 4: Simplify right side
    157,643.62x = 17,346,126,762.92
  5. Step 5: Solve for x
    x = 17,346,126,762.92/157,643.62
  6. Step 6: Final answer
    x = 110,033.80

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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.