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Finding the Fourth Proportional to 114,362.16, 157,622.75 and 76,053.24

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Solution

The fourth proportional to 114,362.16, 157,622.75 and 76,053.24 is: 104,822.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,362.16 : 157,622.75 = 76,053.24 : x
  2. Step 2: Convert to fraction form
    114,362.16/157,622.75 = 76,053.24/x
  3. Step 3: Cross multiply
    114,362.16x = 157,622.75 × 76,053.24
  4. Step 4: Simplify right side
    114,362.16x = 11,987,720,454.94
  5. Step 5: Solve for x
    x = 11,987,720,454.94/114,362.16
  6. Step 6: Final answer
    x = 104,822.44

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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.