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Finding the Fourth Proportional to 157,715.36, 217,644 and 86,095.16

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Solution

The fourth proportional to 157,715.36, 217,644 and 86,095.16 is: 118,809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,715.36 : 217,644 = 86,095.16 : x
  2. Step 2: Convert to fraction form
    157,715.36/217,644 = 86,095.16/x
  3. Step 3: Cross multiply
    157,715.36x = 217,644 × 86,095.16
  4. Step 4: Simplify right side
    157,715.36x = 18,738,095,003.04
  5. Step 5: Solve for x
    x = 18,738,095,003.04/157,715.36
  6. Step 6: Final answer
    x = 118,809.58

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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.