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Finding the Fourth Proportional to 100,975.20, 151,462.80 and 30,854.40

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Solution

The fourth proportional to 100,975.20, 151,462.80 and 30,854.40 is: 46,281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,975.20 : 151,462.80 = 30,854.40 : x
  2. Step 2: Convert to fraction form
    100,975.20/151,462.80 = 30,854.40/x
  3. Step 3: Cross multiply
    100,975.20x = 151,462.80 × 30,854.40
  4. Step 4: Simplify right side
    100,975.20x = 4,673,293,816.32
  5. Step 5: Solve for x
    x = 4,673,293,816.32/100,975.20
  6. Step 6: Final answer
    x = 46,281.60

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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.