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Finding the Fourth Proportional to 210,920.10, 316,011.11 and 175,608.36

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Solution

The fourth proportional to 210,920.10, 316,011.11 and 175,608.36 is: 263,105.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,920.10 : 316,011.11 = 175,608.36 : x
  2. Step 2: Convert to fraction form
    210,920.10/316,011.11 = 175,608.36/x
  3. Step 3: Cross multiply
    210,920.10x = 316,011.11 × 175,608.36
  4. Step 4: Simplify right side
    210,920.10x = 55,494,191,890.84
  5. Step 5: Solve for x
    x = 55,494,191,890.84/210,920.10
  6. Step 6: Final answer
    x = 263,105.28

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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.