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Finding the Fourth Proportional to 237,643.18, 356,346.16 and 77,698.28

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Solution

The fourth proportional to 237,643.18, 356,346.16 and 77,698.28 is: 116,508.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,643.18 : 356,346.16 = 77,698.28 : x
  2. Step 2: Convert to fraction form
    237,643.18/356,346.16 = 77,698.28/x
  3. Step 3: Cross multiply
    237,643.18x = 356,346.16 × 77,698.28
  4. Step 4: Simplify right side
    237,643.18x = 27,687,483,716.60
  5. Step 5: Solve for x
    x = 27,687,483,716.60/237,643.18
  6. Step 6: Final answer
    x = 116,508.64

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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.