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Finding the Fourth Proportional to 114,362.64, 157,820.49 and 69,650.64

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Solution

The fourth proportional to 114,362.64, 157,820.49 and 69,650.64 is: 96,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,362.64 : 157,820.49 = 69,650.64 : x
  2. Step 2: Convert to fraction form
    114,362.64/157,820.49 = 69,650.64/x
  3. Step 3: Cross multiply
    114,362.64x = 157,820.49 × 69,650.64
  4. Step 4: Simplify right side
    114,362.64x = 10,992,298,133.61
  5. Step 5: Solve for x
    x = 10,992,298,133.61/114,362.64
  6. Step 6: Final answer
    x = 96,117.91

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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.