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Finding the Fourth Proportional to 111,064.14, 166,495.41 and 57,693.74

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Solution

The fourth proportional to 111,064.14, 166,495.41 and 57,693.74 is: 86,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,064.14 : 166,495.41 = 57,693.74 : x
  2. Step 2: Convert to fraction form
    111,064.14/166,495.41 = 57,693.74/x
  3. Step 3: Cross multiply
    111,064.14x = 166,495.41 × 57,693.74
  4. Step 4: Simplify right side
    111,064.14x = 9,605,742,063.26
  5. Step 5: Solve for x
    x = 9,605,742,063.26/111,064.14
  6. Step 6: Final answer
    x = 86,488.24

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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.