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Finding the Fourth Proportional to 233,502.98, 322,116.43 and 136,643.18

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Solution

The fourth proportional to 233,502.98, 322,116.43 and 136,643.18 is: 188,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,502.98 : 322,116.43 = 136,643.18 : x
  2. Step 2: Convert to fraction form
    233,502.98/322,116.43 = 136,643.18/x
  3. Step 3: Cross multiply
    233,502.98x = 322,116.43 × 136,643.18
  4. Step 4: Simplify right side
    233,502.98x = 44,015,012,642.23
  5. Step 5: Solve for x
    x = 44,015,012,642.23/233,502.98
  6. Step 6: Final answer
    x = 188,498.72

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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.