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Finding the Fourth Proportional to 114,098.78, 157,403.93 and 73,825.67

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Solution

The fourth proportional to 114,098.78, 157,403.93 and 73,825.67 is: 101,845.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,098.78 : 157,403.93 = 73,825.67 : x
  2. Step 2: Convert to fraction form
    114,098.78/157,403.93 = 73,825.67/x
  3. Step 3: Cross multiply
    114,098.78x = 157,403.93 × 73,825.67
  4. Step 4: Simplify right side
    114,098.78x = 11,620,449,436.74
  5. Step 5: Solve for x
    x = 11,620,449,436.74/114,098.78
  6. Step 6: Final answer
    x = 101,845.52

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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.