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Finding the Fourth Proportional to 211,077.40, 315,924.90 and 164,075.80

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Solution

The fourth proportional to 211,077.40, 315,924.90 and 164,075.80 is: 245,576.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,077.40 : 315,924.90 = 164,075.80 : x
  2. Step 2: Convert to fraction form
    211,077.40/315,924.90 = 164,075.80/x
  3. Step 3: Cross multiply
    211,077.40x = 315,924.90 × 164,075.80
  4. Step 4: Simplify right side
    211,077.40x = 51,835,630,707.42
  5. Step 5: Solve for x
    x = 51,835,630,707.42/211,077.40
  6. Step 6: Final answer
    x = 245,576.41

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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.