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Finding the Fourth Proportional to 105,114.80, 157,672.20 and 65,716.40

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Solution

The fourth proportional to 105,114.80, 157,672.20 and 65,716.40 is: 98,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,114.80 : 157,672.20 = 65,716.40 : x
  2. Step 2: Convert to fraction form
    105,114.80/157,672.20 = 65,716.40/x
  3. Step 3: Cross multiply
    105,114.80x = 157,672.20 × 65,716.40
  4. Step 4: Simplify right side
    105,114.80x = 10,361,649,364.08
  5. Step 5: Solve for x
    x = 10,361,649,364.08/105,114.80
  6. Step 6: Final answer
    x = 98,574.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.