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Finding the Fourth Proportional to 114,402.75, 157,875.84 and 69,690.75

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Solution

The fourth proportional to 114,402.75, 157,875.84 and 69,690.75 is: 96,173.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,402.75 : 157,875.84 = 69,690.75 : x
  2. Step 2: Convert to fraction form
    114,402.75/157,875.84 = 69,690.75/x
  3. Step 3: Cross multiply
    114,402.75x = 157,875.84 × 69,690.75
  4. Step 4: Simplify right side
    114,402.75x = 11,002,485,696.48
  5. Step 5: Solve for x
    x = 11,002,485,696.48/114,402.75
  6. Step 6: Final answer
    x = 96,173.26

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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.