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Finding the Fourth Proportional to 314,102.23, 433,489.17 and 185,041.90

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Solution

The fourth proportional to 314,102.23, 433,489.17 and 185,041.90 is: 255,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,102.23 : 433,489.17 = 185,041.90 : x
  2. Step 2: Convert to fraction form
    314,102.23/433,489.17 = 185,041.90/x
  3. Step 3: Cross multiply
    314,102.23x = 433,489.17 × 185,041.90
  4. Step 4: Simplify right side
    314,102.23x = 80,213,659,646.22
  5. Step 5: Solve for x
    x = 80,213,659,646.22/314,102.23
  6. Step 6: Final answer
    x = 255,374.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.