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Finding the Fourth Proportional to 223,904.90, 308,662.34 and 170,096.52

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Solution

The fourth proportional to 223,904.90, 308,662.34 and 170,096.52 is: 234,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,904.90 : 308,662.34 = 170,096.52 : x
  2. Step 2: Convert to fraction form
    223,904.90/308,662.34 = 170,096.52/x
  3. Step 3: Cross multiply
    223,904.90x = 308,662.34 × 170,096.52
  4. Step 4: Simplify right side
    223,904.90x = 52,502,389,038.57
  5. Step 5: Solve for x
    x = 52,502,389,038.57/223,904.90
  6. Step 6: Final answer
    x = 234,485.22

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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.