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Finding the Fourth Proportional to 188,547.74, 260,189.22 and 103,664.14

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Solution

The fourth proportional to 188,547.74, 260,189.22 and 103,664.14 is: 143,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,547.74 : 260,189.22 = 103,664.14 : x
  2. Step 2: Convert to fraction form
    188,547.74/260,189.22 = 103,664.14/x
  3. Step 3: Cross multiply
    188,547.74x = 260,189.22 × 103,664.14
  4. Step 4: Simplify right side
    188,547.74x = 26,972,291,728.57
  5. Step 5: Solve for x
    x = 26,972,291,728.57/188,547.74
  6. Step 6: Final answer
    x = 143,052.85

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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.