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Finding the Fourth Proportional to 223,353.74, 308,355.41 and 147,094.41

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Solution

The fourth proportional to 223,353.74, 308,355.41 and 147,094.41 is: 203,074.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,353.74 : 308,355.41 = 147,094.41 : x
  2. Step 2: Convert to fraction form
    223,353.74/308,355.41 = 147,094.41/x
  3. Step 3: Cross multiply
    223,353.74x = 308,355.41 × 147,094.41
  4. Step 4: Simplify right side
    223,353.74x = 45,357,356,368.79
  5. Step 5: Solve for x
    x = 45,357,356,368.79/223,353.74
  6. Step 6: Final answer
    x = 203,074.09

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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.