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Finding the Fourth Proportional to 301,106.20, 415,526.55 and 166,970.20

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Solution

The fourth proportional to 301,106.20, 415,526.55 and 166,970.20 is: 230,418.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,106.20 : 415,526.55 = 166,970.20 : x
  2. Step 2: Convert to fraction form
    301,106.20/415,526.55 = 166,970.20/x
  3. Step 3: Cross multiply
    301,106.20x = 415,526.55 × 166,970.20
  4. Step 4: Simplify right side
    301,106.20x = 69,380,551,158.81
  5. Step 5: Solve for x
    x = 69,380,551,158.81/301,106.20
  6. Step 6: Final answer
    x = 230,418.87

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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.