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Finding the Fourth Proportional to 230,161.20, 345,288.84 and 97,041.60

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Solution

The fourth proportional to 230,161.20, 345,288.84 and 97,041.60 is: 145,582.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,161.20 : 345,288.84 = 97,041.60 : x
  2. Step 2: Convert to fraction form
    230,161.20/345,288.84 = 97,041.60/x
  3. Step 3: Cross multiply
    230,161.20x = 345,288.84 × 97,041.60
  4. Step 4: Simplify right side
    230,161.20x = 33,507,381,495.74
  5. Step 5: Solve for x
    x = 33,507,381,495.74/230,161.20
  6. Step 6: Final answer
    x = 145,582.23

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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.