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Finding the Fourth Proportional to 228,164.93, 314,855.21 and 126,184.44

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Solution

The fourth proportional to 228,164.93, 314,855.21 and 126,184.44 is: 174,127.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,164.93 : 314,855.21 = 126,184.44 : x
  2. Step 2: Convert to fraction form
    228,164.93/314,855.21 = 126,184.44/x
  3. Step 3: Cross multiply
    228,164.93x = 314,855.21 × 126,184.44
  4. Step 4: Simplify right side
    228,164.93x = 39,729,828,670.39
  5. Step 5: Solve for x
    x = 39,729,828,670.39/228,164.93
  6. Step 6: Final answer
    x = 174,127.67

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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.