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Finding the Fourth Proportional to 212,307.84, 293,097.60 and 164,453.76

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Solution

The fourth proportional to 212,307.84, 293,097.60 and 164,453.76 is: 227,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,307.84 : 293,097.60 = 164,453.76 : x
  2. Step 2: Convert to fraction form
    212,307.84/293,097.60 = 164,453.76/x
  3. Step 3: Cross multiply
    212,307.84x = 293,097.60 × 164,453.76
  4. Step 4: Simplify right side
    212,307.84x = 48,201,002,366.98
  5. Step 5: Solve for x
    x = 48,201,002,366.98/212,307.84
  6. Step 6: Final answer
    x = 227,033.55

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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.