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Finding the Fourth Proportional to 223,421.60, 308,025.56 and 185,039.75

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Solution

The fourth proportional to 223,421.60, 308,025.56 and 185,039.75 is: 255,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,421.60 : 308,025.56 = 185,039.75 : x
  2. Step 2: Convert to fraction form
    223,421.60/308,025.56 = 185,039.75/x
  3. Step 3: Cross multiply
    223,421.60x = 308,025.56 × 185,039.75
  4. Step 4: Simplify right side
    223,421.60x = 56,996,972,616.01
  5. Step 5: Solve for x
    x = 56,996,972,616.01/223,421.60
  6. Step 6: Final answer
    x = 255,109.50

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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.