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Finding the Fourth Proportional to 174,457.80, 261,686.70 and 165,856.20

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Solution

The fourth proportional to 174,457.80, 261,686.70 and 165,856.20 is: 248,784.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,457.80 : 261,686.70 = 165,856.20 : x
  2. Step 2: Convert to fraction form
    174,457.80/261,686.70 = 165,856.20/x
  3. Step 3: Cross multiply
    174,457.80x = 261,686.70 × 165,856.20
  4. Step 4: Simplify right side
    174,457.80x = 43,402,361,652.54
  5. Step 5: Solve for x
    x = 43,402,361,652.54/174,457.80
  6. Step 6: Final answer
    x = 248,784.30

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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.