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Finding the Fourth Proportional to 164,582.40, 246,873.60 and 81,638.40

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Solution

The fourth proportional to 164,582.40, 246,873.60 and 81,638.40 is: 122,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,582.40 : 246,873.60 = 81,638.40 : x
  2. Step 2: Convert to fraction form
    164,582.40/246,873.60 = 81,638.40/x
  3. Step 3: Cross multiply
    164,582.40x = 246,873.60 × 81,638.40
  4. Step 4: Simplify right side
    164,582.40x = 20,154,365,706.24
  5. Step 5: Solve for x
    x = 20,154,365,706.24/164,582.40
  6. Step 6: Final answer
    x = 122,457.60

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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.