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Finding the Fourth Proportional to 145,716.40, 201,093.66 and 85,292.68

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Solution

The fourth proportional to 145,716.40, 201,093.66 and 85,292.68 is: 117,706.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,716.40 : 201,093.66 = 85,292.68 : x
  2. Step 2: Convert to fraction form
    145,716.40/201,093.66 = 85,292.68/x
  3. Step 3: Cross multiply
    145,716.40x = 201,093.66 × 85,292.68
  4. Step 4: Simplify right side
    145,716.40x = 17,151,817,192.41
  5. Step 5: Solve for x
    x = 17,151,817,192.41/145,716.40
  6. Step 6: Final answer
    x = 117,706.84

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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.