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Finding the Fourth Proportional to 174,457.30, 261,685.95 and 156,961.30

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Solution

The fourth proportional to 174,457.30, 261,685.95 and 156,961.30 is: 235,441.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,457.30 : 261,685.95 = 156,961.30 : x
  2. Step 2: Convert to fraction form
    174,457.30/261,685.95 = 156,961.30/x
  3. Step 3: Cross multiply
    174,457.30x = 261,685.95 × 156,961.30
  4. Step 4: Simplify right side
    174,457.30x = 41,074,566,903.74
  5. Step 5: Solve for x
    x = 41,074,566,903.74/174,457.30
  6. Step 6: Final answer
    x = 235,441.95

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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.