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Finding the Fourth Proportional to 164,543.40, 246,815.10 and 53,735.40

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Solution

The fourth proportional to 164,543.40, 246,815.10 and 53,735.40 is: 80,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,543.40 : 246,815.10 = 53,735.40 : x
  2. Step 2: Convert to fraction form
    164,543.40/246,815.10 = 53,735.40/x
  3. Step 3: Cross multiply
    164,543.40x = 246,815.10 × 53,735.40
  4. Step 4: Simplify right side
    164,543.40x = 13,262,708,124.54
  5. Step 5: Solve for x
    x = 13,262,708,124.54/164,543.40
  6. Step 6: Final answer
    x = 80,603.10

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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.