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Finding the Fourth Proportional to 228,576.29, 342,886.98 and 78,796.88

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Solution

The fourth proportional to 228,576.29, 342,886.98 and 78,796.88 is: 118,203.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,576.29 : 342,886.98 = 78,796.88 : x
  2. Step 2: Convert to fraction form
    228,576.29/342,886.98 = 78,796.88/x
  3. Step 3: Cross multiply
    228,576.29x = 342,886.98 × 78,796.88
  4. Step 4: Simplify right side
    228,576.29x = 27,018,422,502.19
  5. Step 5: Solve for x
    x = 27,018,422,502.19/228,576.29
  6. Step 6: Final answer
    x = 118,203.08

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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.