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Finding the Fourth Proportional to 223,391.91, 308,283.21 and 121,417.38

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Solution

The fourth proportional to 223,391.91, 308,283.21 and 121,417.38 is: 167,557.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,391.91 : 308,283.21 = 121,417.38 : x
  2. Step 2: Convert to fraction form
    223,391.91/308,283.21 = 121,417.38/x
  3. Step 3: Cross multiply
    223,391.91x = 308,283.21 × 121,417.38
  4. Step 4: Simplify right side
    223,391.91x = 37,430,939,656.19
  5. Step 5: Solve for x
    x = 37,430,939,656.19/223,391.91
  6. Step 6: Final answer
    x = 167,557.27

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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.