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Finding the Fourth Proportional to 223,102, 308,143.20 and 151,357.60

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Solution

The fourth proportional to 223,102, 308,143.20 and 151,357.60 is: 209,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,102 : 308,143.20 = 151,357.60 : x
  2. Step 2: Convert to fraction form
    223,102/308,143.20 = 151,357.60/x
  3. Step 3: Cross multiply
    223,102x = 308,143.20 × 151,357.60
  4. Step 4: Simplify right side
    223,102x = 46,639,815,208.32
  5. Step 5: Solve for x
    x = 46,639,815,208.32/223,102
  6. Step 6: Final answer
    x = 209,051.53

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