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Finding the Fourth Proportional to 153,107.44, 211,293.66 and 85,143.68

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Solution

The fourth proportional to 153,107.44, 211,293.66 and 85,143.68 is: 117,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,107.44 : 211,293.66 = 85,143.68 : x
  2. Step 2: Convert to fraction form
    153,107.44/211,293.66 = 85,143.68/x
  3. Step 3: Cross multiply
    153,107.44x = 211,293.66 × 85,143.68
  4. Step 4: Simplify right side
    153,107.44x = 17,990,319,773.07
  5. Step 5: Solve for x
    x = 17,990,319,773.07/153,107.44
  6. Step 6: Final answer
    x = 117,501.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.