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Finding the Fourth Proportional to 116,468.94, 174,355.22 and 71,348.16

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Solution

The fourth proportional to 116,468.94, 174,355.22 and 71,348.16 is: 106,808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,468.94 : 174,355.22 = 71,348.16 : x
  2. Step 2: Convert to fraction form
    116,468.94/174,355.22 = 71,348.16/x
  3. Step 3: Cross multiply
    116,468.94x = 174,355.22 × 71,348.16
  4. Step 4: Simplify right side
    116,468.94x = 12,439,924,133.40
  5. Step 5: Solve for x
    x = 12,439,924,133.40/116,468.94
  6. Step 6: Final answer
    x = 106,808.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.