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Finding the Fourth Proportional to 100,300.35, 150,367.14 and 46,966.08

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Solution

The fourth proportional to 100,300.35, 150,367.14 and 46,966.08 is: 70,410.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,300.35 : 150,367.14 = 46,966.08 : x
  2. Step 2: Convert to fraction form
    100,300.35/150,367.14 = 46,966.08/x
  3. Step 3: Cross multiply
    100,300.35x = 150,367.14 × 46,966.08
  4. Step 4: Simplify right side
    100,300.35x = 7,062,155,126.61
  5. Step 5: Solve for x
    x = 7,062,155,126.61/100,300.35
  6. Step 6: Final answer
    x = 70,410.07

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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.