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Finding the Fourth Proportional to 116,800.80, 175,412.40 and 102,285.60

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Solution

The fourth proportional to 116,800.80, 175,412.40 and 102,285.60 is: 153,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,800.80 : 175,412.40 = 102,285.60 : x
  2. Step 2: Convert to fraction form
    116,800.80/175,412.40 = 102,285.60/x
  3. Step 3: Cross multiply
    116,800.80x = 175,412.40 × 102,285.60
  4. Step 4: Simplify right side
    116,800.80x = 17,942,162,581.44
  5. Step 5: Solve for x
    x = 17,942,162,581.44/116,800.80
  6. Step 6: Final answer
    x = 153,613.35

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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.