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Finding the Fourth Proportional to 100,306.58, 150,423.93 and 46,989.42

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Solution

The fourth proportional to 100,306.58, 150,423.93 and 46,989.42 is: 70,467.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,306.58 : 150,423.93 = 46,989.42 : x
  2. Step 2: Convert to fraction form
    100,306.58/150,423.93 = 46,989.42/x
  3. Step 3: Cross multiply
    100,306.58x = 150,423.93 × 46,989.42
  4. Step 4: Simplify right side
    100,306.58x = 7,068,333,224.82
  5. Step 5: Solve for x
    x = 7,068,333,224.82/100,306.58
  6. Step 6: Final answer
    x = 70,467.30

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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.