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Finding the Fourth Proportional to 164,838.21, 247,358.84 and 64,981.41

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Solution

The fourth proportional to 164,838.21, 247,358.84 and 64,981.41 is: 97,512.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,838.21 : 247,358.84 = 64,981.41 : x
  2. Step 2: Convert to fraction form
    164,838.21/247,358.84 = 64,981.41/x
  3. Step 3: Cross multiply
    164,838.21x = 247,358.84 × 64,981.41
  4. Step 4: Simplify right side
    164,838.21x = 16,073,726,199.16
  5. Step 5: Solve for x
    x = 16,073,726,199.16/164,838.21
  6. Step 6: Final answer
    x = 97,512.14

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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.