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Finding the Fourth Proportional to 219,182, 302,471.16 and 118,580

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Solution

The fourth proportional to 219,182, 302,471.16 and 118,580 is: 163,640.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,182 : 302,471.16 = 118,580 : x
  2. Step 2: Convert to fraction form
    219,182/302,471.16 = 118,580/x
  3. Step 3: Cross multiply
    219,182x = 302,471.16 × 118,580
  4. Step 4: Simplify right side
    219,182x = 35,867,030,152.80
  5. Step 5: Solve for x
    x = 35,867,030,152.80/219,182
  6. Step 6: Final answer
    x = 163,640.40

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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.