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Finding the Fourth Proportional to 211,065.90, 315,907.65 and 164,064.30

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Solution

The fourth proportional to 211,065.90, 315,907.65 and 164,064.30 is: 245,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,065.90 : 315,907.65 = 164,064.30 : x
  2. Step 2: Convert to fraction form
    211,065.90/315,907.65 = 164,064.30/x
  3. Step 3: Cross multiply
    211,065.90x = 315,907.65 × 164,064.30
  4. Step 4: Simplify right side
    211,065.90x = 51,829,167,461.90
  5. Step 5: Solve for x
    x = 51,829,167,461.90/211,065.90
  6. Step 6: Final answer
    x = 245,559.17

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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.