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Finding the Fourth Proportional to 109,430.80, 164,151.60 and 56,942.80

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Solution

The fourth proportional to 109,430.80, 164,151.60 and 56,942.80 is: 85,417.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,430.80 : 164,151.60 = 56,942.80 : x
  2. Step 2: Convert to fraction form
    109,430.80/164,151.60 = 56,942.80/x
  3. Step 3: Cross multiply
    109,430.80x = 164,151.60 × 56,942.80
  4. Step 4: Simplify right side
    109,430.80x = 9,347,251,728.48
  5. Step 5: Solve for x
    x = 9,347,251,728.48/109,430.80
  6. Step 6: Final answer
    x = 85,417.01

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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.