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Finding the Fourth Proportional to 193,083, 266,175.35 and 135,547.13

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Solution

The fourth proportional to 193,083, 266,175.35 and 135,547.13 is: 186,859.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,083 : 266,175.35 = 135,547.13 : x
  2. Step 2: Convert to fraction form
    193,083/266,175.35 = 135,547.13/x
  3. Step 3: Cross multiply
    193,083x = 266,175.35 × 135,547.13
  4. Step 4: Simplify right side
    193,083x = 36,079,304,769.25
  5. Step 5: Solve for x
    x = 36,079,304,769.25/193,083
  6. Step 6: Final answer
    x = 186,859.04

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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.