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Finding the Fourth Proportional to 106,830.88, 160,172.52 and 46,830.60

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Solution

The fourth proportional to 106,830.88, 160,172.52 and 46,830.60 is: 70,213.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,830.88 : 160,172.52 = 46,830.60 : x
  2. Step 2: Convert to fraction form
    106,830.88/160,172.52 = 46,830.60/x
  3. Step 3: Cross multiply
    106,830.88x = 160,172.52 × 46,830.60
  4. Step 4: Simplify right side
    106,830.88x = 7,500,975,215.11
  5. Step 5: Solve for x
    x = 7,500,975,215.11/106,830.88
  6. Step 6: Final answer
    x = 70,213.55

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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.