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Finding the Fourth Proportional to 264,046.81, 364,384.69 and 143,188.06

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Solution

The fourth proportional to 264,046.81, 364,384.69 and 143,188.06 is: 197,599.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,046.81 : 364,384.69 = 143,188.06 : x
  2. Step 2: Convert to fraction form
    264,046.81/364,384.69 = 143,188.06/x
  3. Step 3: Cross multiply
    264,046.81x = 364,384.69 × 143,188.06
  4. Step 4: Simplify right side
    264,046.81x = 52,175,538,099.36
  5. Step 5: Solve for x
    x = 52,175,538,099.36/264,046.81
  6. Step 6: Final answer
    x = 197,599.58

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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.