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Finding the Fourth Proportional to 164,432.80, 246,649.20 and 97,904.80

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Solution

The fourth proportional to 164,432.80, 246,649.20 and 97,904.80 is: 146,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,432.80 : 246,649.20 = 97,904.80 : x
  2. Step 2: Convert to fraction form
    164,432.80/246,649.20 = 97,904.80/x
  3. Step 3: Cross multiply
    164,432.80x = 246,649.20 × 97,904.80
  4. Step 4: Simplify right side
    164,432.80x = 24,148,140,596.16
  5. Step 5: Solve for x
    x = 24,148,140,596.16/164,432.80
  6. Step 6: Final answer
    x = 146,857.20

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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.