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Finding the Fourth Proportional to 223,804.60, 308,915.56 and 146,291.52

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Solution

The fourth proportional to 223,804.60, 308,915.56 and 146,291.52 is: 201,924.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,804.60 : 308,915.56 = 146,291.52 : x
  2. Step 2: Convert to fraction form
    223,804.60/308,915.56 = 146,291.52/x
  3. Step 3: Cross multiply
    223,804.60x = 308,915.56 × 146,291.52
  4. Step 4: Simplify right side
    223,804.60x = 45,191,726,824.05
  5. Step 5: Solve for x
    x = 45,191,726,824.05/223,804.60
  6. Step 6: Final answer
    x = 201,924.92

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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.