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Finding the Fourth Proportional to 223,509.64, 308,317.06 and 132,894.83

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Solution

The fourth proportional to 223,509.64, 308,317.06 and 132,894.83 is: 183,319.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,509.64 : 308,317.06 = 132,894.83 : x
  2. Step 2: Convert to fraction form
    223,509.64/308,317.06 = 132,894.83/x
  3. Step 3: Cross multiply
    223,509.64x = 308,317.06 × 132,894.83
  4. Step 4: Simplify right side
    223,509.64x = 40,973,741,733.21
  5. Step 5: Solve for x
    x = 40,973,741,733.21/223,509.64
  6. Step 6: Final answer
    x = 183,319.80

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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.