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Finding the Fourth Proportional to 213,588.16, 294,658.32 and 122,924.32

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Solution

The fourth proportional to 213,588.16, 294,658.32 and 122,924.32 is: 169,581.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,588.16 : 294,658.32 = 122,924.32 : x
  2. Step 2: Convert to fraction form
    213,588.16/294,658.32 = 122,924.32/x
  3. Step 3: Cross multiply
    213,588.16x = 294,658.32 × 122,924.32
  4. Step 4: Simplify right side
    213,588.16x = 36,220,673,618.34
  5. Step 5: Solve for x
    x = 36,220,673,618.34/213,588.16
  6. Step 6: Final answer
    x = 169,581.84

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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.