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Finding the Fourth Proportional to 157,338.70, 235,904.64 and 76,264.26

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Solution

The fourth proportional to 157,338.70, 235,904.64 and 76,264.26 is: 114,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,338.70 : 235,904.64 = 76,264.26 : x
  2. Step 2: Convert to fraction form
    157,338.70/235,904.64 = 76,264.26/x
  3. Step 3: Cross multiply
    157,338.70x = 235,904.64 × 76,264.26
  4. Step 4: Simplify right side
    157,338.70x = 17,991,091,629.53
  5. Step 5: Solve for x
    x = 17,991,091,629.53/157,338.70
  6. Step 6: Final answer
    x = 114,346.26

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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.