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Finding the Fourth Proportional to 157,005.17, 216,665.07 and 85,383.66

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Solution

The fourth proportional to 157,005.17, 216,665.07 and 85,383.66 is: 117,828.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,005.17 : 216,665.07 = 85,383.66 : x
  2. Step 2: Convert to fraction form
    157,005.17/216,665.07 = 85,383.66/x
  3. Step 3: Cross multiply
    157,005.17x = 216,665.07 × 85,383.66
  4. Step 4: Simplify right side
    157,005.17x = 18,499,656,670.76
  5. Step 5: Solve for x
    x = 18,499,656,670.76/157,005.17
  6. Step 6: Final answer
    x = 117,828.33

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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.