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Finding the Fourth Proportional to 101,206.77, 139,646.93 and 71,084.13

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Solution

The fourth proportional to 101,206.77, 139,646.93 and 71,084.13 is: 98,083.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,206.77 : 139,646.93 = 71,084.13 : x
  2. Step 2: Convert to fraction form
    101,206.77/139,646.93 = 71,084.13/x
  3. Step 3: Cross multiply
    101,206.77x = 139,646.93 × 71,084.13
  4. Step 4: Simplify right side
    101,206.77x = 9,926,680,526.22
  5. Step 5: Solve for x
    x = 9,926,680,526.22/101,206.77
  6. Step 6: Final answer
    x = 98,083.17

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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.