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Finding the Fourth Proportional to 165,099.84, 247,480.32 and 65,219.52

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Solution

The fourth proportional to 165,099.84, 247,480.32 and 65,219.52 is: 97,762.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,099.84 : 247,480.32 = 65,219.52 : x
  2. Step 2: Convert to fraction form
    165,099.84/247,480.32 = 65,219.52/x
  3. Step 3: Cross multiply
    165,099.84x = 247,480.32 × 65,219.52
  4. Step 4: Simplify right side
    165,099.84x = 16,140,547,679.85
  5. Step 5: Solve for x
    x = 16,140,547,679.85/165,099.84
  6. Step 6: Final answer
    x = 97,762.35

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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.