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Finding the Fourth Proportional to 100,394.16, 150,536.26 and 46,300.14

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Solution

The fourth proportional to 100,394.16, 150,536.26 and 46,300.14 is: 69,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,394.16 : 150,536.26 = 46,300.14 : x
  2. Step 2: Convert to fraction form
    100,394.16/150,536.26 = 46,300.14/x
  3. Step 3: Cross multiply
    100,394.16x = 150,536.26 × 46,300.14
  4. Step 4: Simplify right side
    100,394.16x = 6,969,849,913.08
  5. Step 5: Solve for x
    x = 6,969,849,913.08/100,394.16
  6. Step 6: Final answer
    x = 69,424.85

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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.