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Finding the Fourth Proportional to 145,532.14, 200,834.06 and 81,869.99

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Solution

The fourth proportional to 145,532.14, 200,834.06 and 81,869.99 is: 112,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,532.14 : 200,834.06 = 81,869.99 : x
  2. Step 2: Convert to fraction form
    145,532.14/200,834.06 = 81,869.99/x
  3. Step 3: Cross multiply
    145,532.14x = 200,834.06 × 81,869.99
  4. Step 4: Simplify right side
    145,532.14x = 16,442,281,070.34
  5. Step 5: Solve for x
    x = 16,442,281,070.34/145,532.14
  6. Step 6: Final answer
    x = 112,980.41

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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.