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Finding the Fourth Proportional to 223,565.48, 308,364.14 and 151,820.96

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Solution

The fourth proportional to 223,565.48, 308,364.14 and 151,820.96 is: 209,406.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,565.48 : 308,364.14 = 151,820.96 : x
  2. Step 2: Convert to fraction form
    223,565.48/308,364.14 = 151,820.96/x
  3. Step 3: Cross multiply
    223,565.48x = 308,364.14 × 151,820.96
  4. Step 4: Simplify right side
    223,565.48x = 46,816,139,764.37
  5. Step 5: Solve for x
    x = 46,816,139,764.37/223,565.48
  6. Step 6: Final answer
    x = 209,406.84

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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.