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Finding the Fourth Proportional to 223,653.44, 308,566.24 and 151,909.12

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Solution

The fourth proportional to 223,653.44, 308,566.24 and 151,909.12 is: 209,583.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,653.44 : 308,566.24 = 151,909.12 : x
  2. Step 2: Convert to fraction form
    223,653.44/308,566.24 = 151,909.12/x
  3. Step 3: Cross multiply
    223,653.44x = 308,566.24 × 151,909.12
  4. Step 4: Simplify right side
    223,653.44x = 46,874,025,980.11
  5. Step 5: Solve for x
    x = 46,874,025,980.11/223,653.44
  6. Step 6: Final answer
    x = 209,583.30

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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.