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Finding the Fourth Proportional to 114,043.86, 157,366.53 and 66,307.86

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Solution

The fourth proportional to 114,043.86, 157,366.53 and 66,307.86 is: 91,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,043.86 : 157,366.53 = 66,307.86 : x
  2. Step 2: Convert to fraction form
    114,043.86/157,366.53 = 66,307.86/x
  3. Step 3: Cross multiply
    114,043.86x = 157,366.53 × 66,307.86
  4. Step 4: Simplify right side
    114,043.86x = 10,434,637,839.93
  5. Step 5: Solve for x
    x = 10,434,637,839.93/114,043.86
  6. Step 6: Final answer
    x = 91,496.71

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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.