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Finding the Fourth Proportional to 114,682.60, 172,023.90 and 97,229.80

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Solution

The fourth proportional to 114,682.60, 172,023.90 and 97,229.80 is: 145,844.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,682.60 : 172,023.90 = 97,229.80 : x
  2. Step 2: Convert to fraction form
    114,682.60/172,023.90 = 97,229.80/x
  3. Step 3: Cross multiply
    114,682.60x = 172,023.90 × 97,229.80
  4. Step 4: Simplify right side
    114,682.60x = 16,725,849,392.22
  5. Step 5: Solve for x
    x = 16,725,849,392.22/114,682.60
  6. Step 6: Final answer
    x = 145,844.70

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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.