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Finding the Fourth Proportional to 233,298.18, 322,004.16 and 142,729.65

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Solution

The fourth proportional to 233,298.18, 322,004.16 and 142,729.65 is: 196,999.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,298.18 : 322,004.16 = 142,729.65 : x
  2. Step 2: Convert to fraction form
    233,298.18/322,004.16 = 142,729.65/x
  3. Step 3: Cross multiply
    233,298.18x = 322,004.16 × 142,729.65
  4. Step 4: Simplify right side
    233,298.18x = 45,959,541,055.34
  5. Step 5: Solve for x
    x = 45,959,541,055.34/233,298.18
  6. Step 6: Final answer
    x = 196,999.14

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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.