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Finding the Fourth Proportional to 211,075.40, 315,921.90 and 164,073.80

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Solution

The fourth proportional to 211,075.40, 315,921.90 and 164,073.80 is: 245,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,075.40 : 315,921.90 = 164,073.80 : x
  2. Step 2: Convert to fraction form
    211,075.40/315,921.90 = 164,073.80/x
  3. Step 3: Cross multiply
    211,075.40x = 315,921.90 × 164,073.80
  4. Step 4: Simplify right side
    211,075.40x = 51,834,506,636.22
  5. Step 5: Solve for x
    x = 51,834,506,636.22/211,075.40
  6. Step 6: Final answer
    x = 245,573.41

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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.