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Finding the Fourth Proportional to 233,744.32, 322,543.36 and 138,232.36

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Solution

The fourth proportional to 233,744.32, 322,543.36 and 138,232.36 is: 190,746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,744.32 : 322,543.36 = 138,232.36 : x
  2. Step 2: Convert to fraction form
    233,744.32/322,543.36 = 138,232.36/x
  3. Step 3: Cross multiply
    233,744.32x = 322,543.36 × 138,232.36
  4. Step 4: Simplify right side
    233,744.32x = 44,585,929,855.13
  5. Step 5: Solve for x
    x = 44,585,929,855.13/233,744.32
  6. Step 6: Final answer
    x = 190,746.58

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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.