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Finding the Fourth Proportional to 174,164.60, 260,901.30 and 100,206.20

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Solution

The fourth proportional to 174,164.60, 260,901.30 and 100,206.20 is: 150,110.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,164.60 : 260,901.30 = 100,206.20 : x
  2. Step 2: Convert to fraction form
    174,164.60/260,901.30 = 100,206.20/x
  3. Step 3: Cross multiply
    174,164.60x = 260,901.30 × 100,206.20
  4. Step 4: Simplify right side
    174,164.60x = 26,143,927,848.06
  5. Step 5: Solve for x
    x = 26,143,927,848.06/174,164.60
  6. Step 6: Final answer
    x = 150,110.46

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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.