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Finding the Fourth Proportional to 174,632.64, 261,950.76 and 139,793.76

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Solution

The fourth proportional to 174,632.64, 261,950.76 and 139,793.76 is: 209,692.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,632.64 : 261,950.76 = 139,793.76 : x
  2. Step 2: Convert to fraction form
    174,632.64/261,950.76 = 139,793.76/x
  3. Step 3: Cross multiply
    174,632.64x = 261,950.76 × 139,793.76
  4. Step 4: Simplify right side
    174,632.64x = 36,619,081,675.26
  5. Step 5: Solve for x
    x = 36,619,081,675.26/174,632.64
  6. Step 6: Final answer
    x = 209,692.08

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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.