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Finding the Fourth Proportional to 164,820.96, 247,064.70 and 64,942.32

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Solution

The fourth proportional to 164,820.96, 247,064.70 and 64,942.32 is: 97,347.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,820.96 : 247,064.70 = 64,942.32 : x
  2. Step 2: Convert to fraction form
    164,820.96/247,064.70 = 64,942.32/x
  3. Step 3: Cross multiply
    164,820.96x = 247,064.70 × 64,942.32
  4. Step 4: Simplify right side
    164,820.96x = 16,044,954,808.10
  5. Step 5: Solve for x
    x = 16,044,954,808.10/164,820.96
  6. Step 6: Final answer
    x = 97,347.78

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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.