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Finding the Fourth Proportional to 219,394, 302,763.72 and 118,792

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Solution

The fourth proportional to 219,394, 302,763.72 and 118,792 is: 163,932.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,394 : 302,763.72 = 118,792 : x
  2. Step 2: Convert to fraction form
    219,394/302,763.72 = 118,792/x
  3. Step 3: Cross multiply
    219,394x = 302,763.72 × 118,792
  4. Step 4: Simplify right side
    219,394x = 35,965,907,826.24
  5. Step 5: Solve for x
    x = 35,965,907,826.24/219,394
  6. Step 6: Final answer
    x = 163,932.96

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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.