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Finding the Fourth Proportional to 212,323.84, 293,119.68 and 164,469.76

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Solution

The fourth proportional to 212,323.84, 293,119.68 and 164,469.76 is: 227,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,323.84 : 293,119.68 = 164,469.76 : x
  2. Step 2: Convert to fraction form
    212,323.84/293,119.68 = 164,469.76/x
  3. Step 3: Cross multiply
    212,323.84x = 293,119.68 × 164,469.76
  4. Step 4: Simplify right side
    212,323.84x = 48,209,323,420.88
  5. Step 5: Solve for x
    x = 48,209,323,420.88/212,323.84
  6. Step 6: Final answer
    x = 227,055.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.