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Finding the Fourth Proportional to 210,097.94, 315,239.31 and 110,234.58

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Solution

The fourth proportional to 210,097.94, 315,239.31 and 110,234.58 is: 165,400.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,097.94 : 315,239.31 = 110,234.58 : x
  2. Step 2: Convert to fraction form
    210,097.94/315,239.31 = 110,234.58/x
  3. Step 3: Cross multiply
    210,097.94x = 315,239.31 × 110,234.58
  4. Step 4: Simplify right side
    210,097.94x = 34,750,272,937.34
  5. Step 5: Solve for x
    x = 34,750,272,937.34/210,097.94
  6. Step 6: Final answer
    x = 165,400.35

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1.5x scale

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.