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Finding the Fourth Proportional to 188,532.86, 260,176.02 and 103,655.30

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Solution

The fourth proportional to 188,532.86, 260,176.02 and 103,655.30 is: 143,044.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,532.86 : 260,176.02 = 103,655.30 : x
  2. Step 2: Convert to fraction form
    188,532.86/260,176.02 = 103,655.30/x
  3. Step 3: Cross multiply
    188,532.86x = 260,176.02 × 103,655.30
  4. Step 4: Simplify right side
    188,532.86x = 26,968,623,405.91
  5. Step 5: Solve for x
    x = 26,968,623,405.91/188,532.86
  6. Step 6: Final answer
    x = 143,044.68

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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.