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Finding the Fourth Proportional to 223,835.18, 335,541.72 and 111,409.12

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Solution

The fourth proportional to 223,835.18, 335,541.72 and 111,409.12 is: 167,008.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,835.18 : 335,541.72 = 111,409.12 : x
  2. Step 2: Convert to fraction form
    223,835.18/335,541.72 = 111,409.12/x
  3. Step 3: Cross multiply
    223,835.18x = 335,541.72 × 111,409.12
  4. Step 4: Simplify right side
    223,835.18x = 37,382,406,909.63
  5. Step 5: Solve for x
    x = 37,382,406,909.63/223,835.18
  6. Step 6: Final answer
    x = 167,008.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.