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Finding the Fourth Proportional to 114,324.36, 157,767.74 and 64,023.36

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Solution

The fourth proportional to 114,324.36, 157,767.74 and 64,023.36 is: 88,352.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,324.36 : 157,767.74 = 64,023.36 : x
  2. Step 2: Convert to fraction form
    114,324.36/157,767.74 = 64,023.36/x
  3. Step 3: Cross multiply
    114,324.36x = 157,767.74 × 64,023.36
  4. Step 4: Simplify right side
    114,324.36x = 10,100,820,814.41
  5. Step 5: Solve for x
    x = 10,100,820,814.41/114,324.36
  6. Step 6: Final answer
    x = 88,352.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.