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Finding the Fourth Proportional to 114,406.87, 157,706.47 and 80,319.73

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Solution

The fourth proportional to 114,406.87, 157,706.47 and 80,319.73 is: 110,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,406.87 : 157,706.47 = 80,319.73 : x
  2. Step 2: Convert to fraction form
    114,406.87/157,706.47 = 80,319.73/x
  3. Step 3: Cross multiply
    114,406.87x = 157,706.47 × 80,319.73
  4. Step 4: Simplify right side
    114,406.87x = 12,666,941,089.65
  5. Step 5: Solve for x
    x = 12,666,941,089.65/114,406.87
  6. Step 6: Final answer
    x = 110,718.36

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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.