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Finding the Fourth Proportional to 223,111.40, 307,893.68 and 122,509.40

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Solution

The fourth proportional to 223,111.40, 307,893.68 and 122,509.40 is: 169,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,111.40 : 307,893.68 = 122,509.40 : x
  2. Step 2: Convert to fraction form
    223,111.40/307,893.68 = 122,509.40/x
  3. Step 3: Cross multiply
    223,111.40x = 307,893.68 × 122,509.40
  4. Step 4: Simplify right side
    223,111.40x = 37,719,870,000.59
  5. Step 5: Solve for x
    x = 37,719,870,000.59/223,111.40
  6. Step 6: Final answer
    x = 169,062.94

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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.