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Finding the Fourth Proportional to 228,577.73, 342,889.14 and 78,798.29

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Solution

The fourth proportional to 228,577.73, 342,889.14 and 78,798.29 is: 118,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,577.73 : 342,889.14 = 78,798.29 : x
  2. Step 2: Convert to fraction form
    228,577.73/342,889.14 = 78,798.29/x
  3. Step 3: Cross multiply
    228,577.73x = 342,889.14 × 78,798.29
  4. Step 4: Simplify right side
    228,577.73x = 27,019,076,177.12
  5. Step 5: Solve for x
    x = 27,019,076,177.12/228,577.73
  6. Step 6: Final answer
    x = 118,205.20

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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.