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Finding the Fourth Proportional to 193,442.70, 290,164.05 and 160,200.30

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Solution

The fourth proportional to 193,442.70, 290,164.05 and 160,200.30 is: 240,300.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,442.70 : 290,164.05 = 160,200.30 : x
  2. Step 2: Convert to fraction form
    193,442.70/290,164.05 = 160,200.30/x
  3. Step 3: Cross multiply
    193,442.70x = 290,164.05 × 160,200.30
  4. Step 4: Simplify right side
    193,442.70x = 46,484,367,859.22
  5. Step 5: Solve for x
    x = 46,484,367,859.22/193,442.70
  6. Step 6: Final answer
    x = 240,300.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.