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Finding the Fourth Proportional to 114,274.88, 157,647 and 74,001.61

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Solution

The fourth proportional to 114,274.88, 157,647 and 74,001.61 is: 102,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,274.88 : 157,647 = 74,001.61 : x
  2. Step 2: Convert to fraction form
    114,274.88/157,647 = 74,001.61/x
  3. Step 3: Cross multiply
    114,274.88x = 157,647 × 74,001.61
  4. Step 4: Simplify right side
    114,274.88x = 11,666,131,417.55
  5. Step 5: Solve for x
    x = 11,666,131,417.55/114,274.88
  6. Step 6: Final answer
    x = 102,088.33

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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.