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Finding the Fourth Proportional to 233,718.20, 322,597.20 and 138,258.08

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Solution

The fourth proportional to 233,718.20, 322,597.20 and 138,258.08 is: 190,835.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,718.20 : 322,597.20 = 138,258.08 : x
  2. Step 2: Convert to fraction form
    233,718.20/322,597.20 = 138,258.08/x
  3. Step 3: Cross multiply
    233,718.20x = 322,597.20 × 138,258.08
  4. Step 4: Simplify right side
    233,718.20x = 44,601,669,485.38
  5. Step 5: Solve for x
    x = 44,601,669,485.38/233,718.20
  6. Step 6: Final answer
    x = 190,835.24

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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.