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Finding the Fourth Proportional to 115,874.80, 162,458 and 115,874.80

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Solution

The fourth proportional to 115,874.80, 162,458 and 115,874.80 is: 162,458

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,874.80 : 162,458 = 115,874.80 : x
  2. Step 2: Convert to fraction form
    115,874.80/162,458 = 115,874.80/x
  3. Step 3: Cross multiply
    115,874.80x = 162,458 × 115,874.80
  4. Step 4: Simplify right side
    115,874.80x = 18,824,788,258.40
  5. Step 5: Solve for x
    x = 18,824,788,258.40/115,874.80
  6. Step 6: Final answer
    x = 162,458

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.