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Finding the Fourth Proportional to 116,710.20, 175,065.30 and 57,661.20

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Solution

The fourth proportional to 116,710.20, 175,065.30 and 57,661.20 is: 86,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,710.20 : 175,065.30 = 57,661.20 : x
  2. Step 2: Convert to fraction form
    116,710.20/175,065.30 = 57,661.20/x
  3. Step 3: Cross multiply
    116,710.20x = 175,065.30 × 57,661.20
  4. Step 4: Simplify right side
    116,710.20x = 10,094,475,276.36
  5. Step 5: Solve for x
    x = 10,094,475,276.36/116,710.20
  6. Step 6: Final answer
    x = 86,491.80

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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.