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Finding the Fourth Proportional to 151,038, 208,441.08 and 83,974.32

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Solution

The fourth proportional to 151,038, 208,441.08 and 83,974.32 is: 115,889.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,038 : 208,441.08 = 83,974.32 : x
  2. Step 2: Convert to fraction form
    151,038/208,441.08 = 83,974.32/x
  3. Step 3: Cross multiply
    151,038x = 208,441.08 × 83,974.32
  4. Step 4: Simplify right side
    151,038x = 17,503,697,953.07
  5. Step 5: Solve for x
    x = 17,503,697,953.07/151,038
  6. Step 6: Final answer
    x = 115,889.37

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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.