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Finding the Fourth Proportional to 165,128.96, 227,886 and 93,512

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Solution

The fourth proportional to 165,128.96, 227,886 and 93,512 is: 129,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,128.96 : 227,886 = 93,512 : x
  2. Step 2: Convert to fraction form
    165,128.96/227,886 = 93,512/x
  3. Step 3: Cross multiply
    165,128.96x = 227,886 × 93,512
  4. Step 4: Simplify right side
    165,128.96x = 21,310,075,632
  5. Step 5: Solve for x
    x = 21,310,075,632/165,128.96
  6. Step 6: Final answer
    x = 129,051.11

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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.