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Finding the Fourth Proportional to 93,017, 128,701.50 and 81,105.14

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Solution

The fourth proportional to 93,017, 128,701.50 and 81,105.14 is: 112,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,017 : 128,701.50 = 81,105.14 : x
  2. Step 2: Convert to fraction form
    93,017/128,701.50 = 81,105.14/x
  3. Step 3: Cross multiply
    93,017x = 128,701.50 × 81,105.14
  4. Step 4: Simplify right side
    93,017x = 10,438,353,175.71
  5. Step 5: Solve for x
    x = 10,438,353,175.71/93,017
  6. Step 6: Final answer
    x = 112,219.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.