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Finding the Fourth Proportional to 213,487.94, 294,613.42 and 117,994.64

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Solution

The fourth proportional to 213,487.94, 294,613.42 and 117,994.64 is: 162,832.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,487.94 : 294,613.42 = 117,994.64 : x
  2. Step 2: Convert to fraction form
    213,487.94/294,613.42 = 117,994.64/x
  3. Step 3: Cross multiply
    213,487.94x = 294,613.42 × 117,994.64
  4. Step 4: Simplify right side
    213,487.94x = 34,762,804,432.07
  5. Step 5: Solve for x
    x = 34,762,804,432.07/213,487.94
  6. Step 6: Final answer
    x = 162,832.64

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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.