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Finding the Fourth Proportional to 219,521.24, 302,940.24 and 118,919.24

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Solution

The fourth proportional to 219,521.24, 302,940.24 and 118,919.24 is: 164,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,521.24 : 302,940.24 = 118,919.24 : x
  2. Step 2: Convert to fraction form
    219,521.24/302,940.24 = 118,919.24/x
  3. Step 3: Cross multiply
    219,521.24x = 302,940.24 × 118,919.24
  4. Step 4: Simplify right side
    219,521.24x = 36,025,423,106.22
  5. Step 5: Solve for x
    x = 36,025,423,106.22/219,521.24
  6. Step 6: Final answer
    x = 164,109.05

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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.