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Finding the Fourth Proportional to 157,023.36, 216,686.04 and 85,403.28

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Solution

The fourth proportional to 157,023.36, 216,686.04 and 85,403.28 is: 117,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,023.36 : 216,686.04 = 85,403.28 : x
  2. Step 2: Convert to fraction form
    157,023.36/216,686.04 = 85,403.28/x
  3. Step 3: Cross multiply
    157,023.36x = 216,686.04 × 85,403.28
  4. Step 4: Simplify right side
    157,023.36x = 18,505,698,546.21
  5. Step 5: Solve for x
    x = 18,505,698,546.21/157,023.36
  6. Step 6: Final answer
    x = 117,853.16

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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.