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Finding the Fourth Proportional to 164,829.60, 247,762.80 and 161,719.20

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Solution

The fourth proportional to 164,829.60, 247,762.80 and 161,719.20 is: 243,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,829.60 : 247,762.80 = 161,719.20 : x
  2. Step 2: Convert to fraction form
    164,829.60/247,762.80 = 161,719.20/x
  3. Step 3: Cross multiply
    164,829.60x = 247,762.80 × 161,719.20
  4. Step 4: Simplify right side
    164,829.60x = 40,068,001,805.76
  5. Step 5: Solve for x
    x = 40,068,001,805.76/164,829.60
  6. Step 6: Final answer
    x = 243,087.42

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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.