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Finding the Fourth Proportional to 114,259.59, 157,729.16 and 75,520.75

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Solution

The fourth proportional to 114,259.59, 157,729.16 and 75,520.75 is: 104,252.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,259.59 : 157,729.16 = 75,520.75 : x
  2. Step 2: Convert to fraction form
    114,259.59/157,729.16 = 75,520.75/x
  3. Step 3: Cross multiply
    114,259.59x = 157,729.16 × 75,520.75
  4. Step 4: Simplify right side
    114,259.59x = 11,911,824,460.07
  5. Step 5: Solve for x
    x = 11,911,824,460.07/114,259.59
  6. Step 6: Final answer
    x = 104,252.29

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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.