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Finding the Fourth Proportional to 188,547.21, 260,199.74 and 103,664.27

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Solution

The fourth proportional to 188,547.21, 260,199.74 and 103,664.27 is: 143,059.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,547.21 : 260,199.74 = 103,664.27 : x
  2. Step 2: Convert to fraction form
    188,547.21/260,199.74 = 103,664.27/x
  3. Step 3: Cross multiply
    188,547.21x = 260,199.74 × 103,664.27
  4. Step 4: Simplify right side
    188,547.21x = 26,973,417,010.95
  5. Step 5: Solve for x
    x = 26,973,417,010.95/188,547.21
  6. Step 6: Final answer
    x = 143,059.22

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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.