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Finding the Fourth Proportional to 118,006.08, 162,848.32 and 65,014.08

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Solution

The fourth proportional to 118,006.08, 162,848.32 and 65,014.08 is: 89,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,006.08 : 162,848.32 = 65,014.08 : x
  2. Step 2: Convert to fraction form
    118,006.08/162,848.32 = 65,014.08/x
  3. Step 3: Cross multiply
    118,006.08x = 162,848.32 × 65,014.08
  4. Step 4: Simplify right side
    118,006.08x = 10,587,433,704.35
  5. Step 5: Solve for x
    x = 10,587,433,704.35/118,006.08
  6. Step 6: Final answer
    x = 89,719.39

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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.