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Finding the Fourth Proportional to 114,323.88, 157,718.48 and 71,866.92

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Solution

The fourth proportional to 114,323.88, 157,718.48 and 71,866.92 is: 99,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,323.88 : 157,718.48 = 71,866.92 : x
  2. Step 2: Convert to fraction form
    114,323.88/157,718.48 = 71,866.92/x
  3. Step 3: Cross multiply
    114,323.88x = 157,718.48 × 71,866.92
  4. Step 4: Simplify right side
    114,323.88x = 11,334,741,384.68
  5. Step 5: Solve for x
    x = 11,334,741,384.68/114,323.88
  6. Step 6: Final answer
    x = 99,145.88

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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.