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Finding the Fourth Proportional to 213,199.66, 294,214.71 and 117,705.66

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Solution

The fourth proportional to 213,199.66, 294,214.71 and 117,705.66 is: 162,433.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,199.66 : 294,214.71 = 117,705.66 : x
  2. Step 2: Convert to fraction form
    213,199.66/294,214.71 = 117,705.66/x
  3. Step 3: Cross multiply
    213,199.66x = 294,214.71 × 117,705.66
  4. Step 4: Simplify right side
    213,199.66x = 34,630,735,960.35
  5. Step 5: Solve for x
    x = 34,630,735,960.35/213,199.66
  6. Step 6: Final answer
    x = 162,433.35

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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.