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Finding the Fourth Proportional to 114,252.50, 157,686.24 and 65,194.21

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Solution

The fourth proportional to 114,252.50, 157,686.24 and 65,194.21 is: 89,978.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,252.50 : 157,686.24 = 65,194.21 : x
  2. Step 2: Convert to fraction form
    114,252.50/157,686.24 = 65,194.21/x
  3. Step 3: Cross multiply
    114,252.50x = 157,686.24 × 65,194.21
  4. Step 4: Simplify right side
    114,252.50x = 10,280,229,844.67
  5. Step 5: Solve for x
    x = 10,280,229,844.67/114,252.50
  6. Step 6: Final answer
    x = 89,978.16

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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.