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Finding the Fourth Proportional to 157,522.74, 217,386.66 and 85,906.68

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Solution

The fourth proportional to 157,522.74, 217,386.66 and 85,906.68 is: 118,554.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,522.74 : 217,386.66 = 85,906.68 : x
  2. Step 2: Convert to fraction form
    157,522.74/217,386.66 = 85,906.68/x
  3. Step 3: Cross multiply
    157,522.74x = 217,386.66 × 85,906.68
  4. Step 4: Simplify right side
    157,522.74x = 18,674,966,236.89
  5. Step 5: Solve for x
    x = 18,674,966,236.89/157,522.74
  6. Step 6: Final answer
    x = 118,554.10

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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.