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Finding the Fourth Proportional to 188,522, 260,161.96 and 103,637.20

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Solution

The fourth proportional to 188,522, 260,161.96 and 103,637.20 is: 143,020.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,522 : 260,161.96 = 103,637.20 : x
  2. Step 2: Convert to fraction form
    188,522/260,161.96 = 103,637.20/x
  3. Step 3: Cross multiply
    188,522x = 260,161.96 × 103,637.20
  4. Step 4: Simplify right side
    188,522x = 26,962,457,080.91
  5. Step 5: Solve for x
    x = 26,962,457,080.91/188,522
  6. Step 6: Final answer
    x = 143,020.22

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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.