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Finding the Fourth Proportional to 114,254.42, 157,670.01 and 65,838.56

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Solution

The fourth proportional to 114,254.42, 157,670.01 and 65,838.56 is: 90,856.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,254.42 : 157,670.01 = 65,838.56 : x
  2. Step 2: Convert to fraction form
    114,254.42/157,670.01 = 65,838.56/x
  3. Step 3: Cross multiply
    114,254.42x = 157,670.01 × 65,838.56
  4. Step 4: Simplify right side
    114,254.42x = 10,380,766,643.16
  5. Step 5: Solve for x
    x = 10,380,766,643.16/114,254.42
  6. Step 6: Final answer
    x = 90,856.58

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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.