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Finding the Fourth Proportional to 228,978.30, 343,467.45 and 104,562.30

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Solution

The fourth proportional to 228,978.30, 343,467.45 and 104,562.30 is: 156,843.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,978.30 : 343,467.45 = 104,562.30 : x
  2. Step 2: Convert to fraction form
    228,978.30/343,467.45 = 104,562.30/x
  3. Step 3: Cross multiply
    228,978.30x = 343,467.45 × 104,562.30
  4. Step 4: Simplify right side
    228,978.30x = 35,913,746,547.14
  5. Step 5: Solve for x
    x = 35,913,746,547.14/228,978.30
  6. Step 6: Final answer
    x = 156,843.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.