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Finding the Fourth Proportional to 294,159.75, 405,946.94 and 160,023.75

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Solution

The fourth proportional to 294,159.75, 405,946.94 and 160,023.75 is: 220,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,159.75 : 405,946.94 = 160,023.75 : x
  2. Step 2: Convert to fraction form
    294,159.75/405,946.94 = 160,023.75/x
  3. Step 3: Cross multiply
    294,159.75x = 405,946.94 × 160,023.75
  4. Step 4: Simplify right side
    294,159.75x = 64,961,150,839.71
  5. Step 5: Solve for x
    x = 64,961,150,839.71/294,159.75
  6. Step 6: Final answer
    x = 220,836.30

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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.