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Finding the Fourth Proportional to 164,857.36, 247,335.32 and 116,918.32

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Solution

The fourth proportional to 164,857.36, 247,335.32 and 116,918.32 is: 175,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,857.36 : 247,335.32 = 116,918.32 : x
  2. Step 2: Convert to fraction form
    164,857.36/247,335.32 = 116,918.32/x
  3. Step 3: Cross multiply
    164,857.36x = 247,335.32 × 116,918.32
  4. Step 4: Simplify right side
    164,857.36x = 28,918,030,091.06
  5. Step 5: Solve for x
    x = 28,918,030,091.06/164,857.36
  6. Step 6: Final answer
    x = 175,412.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.