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Finding the Fourth Proportional to 174,206.60, 260,921.10 and 134,635.40

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Solution

The fourth proportional to 174,206.60, 260,921.10 and 134,635.40 is: 201,652.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,206.60 : 260,921.10 = 134,635.40 : x
  2. Step 2: Convert to fraction form
    174,206.60/260,921.10 = 134,635.40/x
  3. Step 3: Cross multiply
    174,206.60x = 260,921.10 × 134,635.40
  4. Step 4: Simplify right side
    174,206.60x = 35,129,216,666.94
  5. Step 5: Solve for x
    x = 35,129,216,666.94/174,206.60
  6. Step 6: Final answer
    x = 201,652.62

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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.