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Finding the Fourth Proportional to 223,340.64, 308,085.32 and 137,239.80

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Solution

The fourth proportional to 223,340.64, 308,085.32 and 137,239.80 is: 189,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,340.64 : 308,085.32 = 137,239.80 : x
  2. Step 2: Convert to fraction form
    223,340.64/308,085.32 = 137,239.80/x
  3. Step 3: Cross multiply
    223,340.64x = 308,085.32 × 137,239.80
  4. Step 4: Simplify right side
    223,340.64x = 42,281,567,699.74
  5. Step 5: Solve for x
    x = 42,281,567,699.74/223,340.64
  6. Step 6: Final answer
    x = 189,314.26

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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.