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Finding the Fourth Proportional to 140,441.40, 210,662.10 and 101,075.40

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Solution

The fourth proportional to 140,441.40, 210,662.10 and 101,075.40 is: 151,613.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,441.40 : 210,662.10 = 101,075.40 : x
  2. Step 2: Convert to fraction form
    140,441.40/210,662.10 = 101,075.40/x
  3. Step 3: Cross multiply
    140,441.40x = 210,662.10 × 101,075.40
  4. Step 4: Simplify right side
    140,441.40x = 21,292,756,022.34
  5. Step 5: Solve for x
    x = 21,292,756,022.34/140,441.40
  6. Step 6: Final answer
    x = 151,613.10

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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.