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Finding the Fourth Proportional to 111,097.12, 153,317.84 and 60,796

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Solution

The fourth proportional to 111,097.12, 153,317.84 and 60,796 is: 83,900.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,097.12 : 153,317.84 = 60,796 : x
  2. Step 2: Convert to fraction form
    111,097.12/153,317.84 = 60,796/x
  3. Step 3: Cross multiply
    111,097.12x = 153,317.84 × 60,796
  4. Step 4: Simplify right side
    111,097.12x = 9,321,111,400.64
  5. Step 5: Solve for x
    x = 9,321,111,400.64/111,097.12
  6. Step 6: Final answer
    x = 83,900.57

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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.