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Finding the Fourth Proportional to 233,547.68, 322,319.58 and 142,963.49

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Solution

The fourth proportional to 233,547.68, 322,319.58 and 142,963.49 is: 197,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,547.68 : 322,319.58 = 142,963.49 : x
  2. Step 2: Convert to fraction form
    233,547.68/322,319.58 = 142,963.49/x
  3. Step 3: Cross multiply
    233,547.68x = 322,319.58 × 142,963.49
  4. Step 4: Simplify right side
    233,547.68x = 46,079,932,052.13
  5. Step 5: Solve for x
    x = 46,079,932,052.13/233,547.68
  6. Step 6: Final answer
    x = 197,304.17

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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.