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Finding the Fourth Proportional to 114,114.93, 157,490.37 and 65,718.44

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Solution

The fourth proportional to 114,114.93, 157,490.37 and 65,718.44 is: 90,698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,114.93 : 157,490.37 = 65,718.44 : x
  2. Step 2: Convert to fraction form
    114,114.93/157,490.37 = 65,718.44/x
  3. Step 3: Cross multiply
    114,114.93x = 157,490.37 × 65,718.44
  4. Step 4: Simplify right side
    114,114.93x = 10,350,021,188.35
  5. Step 5: Solve for x
    x = 10,350,021,188.35/114,114.93
  6. Step 6: Final answer
    x = 90,698.22

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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.