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Finding the Fourth Proportional to 164,802.30, 247,203.45 and 40,143.30

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Solution

The fourth proportional to 164,802.30, 247,203.45 and 40,143.30 is: 60,214.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,802.30 : 247,203.45 = 40,143.30 : x
  2. Step 2: Convert to fraction form
    164,802.30/247,203.45 = 40,143.30/x
  3. Step 3: Cross multiply
    164,802.30x = 247,203.45 × 40,143.30
  4. Step 4: Simplify right side
    164,802.30x = 9,923,562,254.39
  5. Step 5: Solve for x
    x = 9,923,562,254.39/164,802.30
  6. Step 6: Final answer
    x = 60,214.95

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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.