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Finding the Fourth Proportional to 210,756.84, 290,852.01 and 120,126.48

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Solution

The fourth proportional to 210,756.84, 290,852.01 and 120,126.48 is: 165,778.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,756.84 : 290,852.01 = 120,126.48 : x
  2. Step 2: Convert to fraction form
    210,756.84/290,852.01 = 120,126.48/x
  3. Step 3: Cross multiply
    210,756.84x = 290,852.01 × 120,126.48
  4. Step 4: Simplify right side
    210,756.84x = 34,939,028,162.22
  5. Step 5: Solve for x
    x = 34,939,028,162.22/210,756.84
  6. Step 6: Final answer
    x = 165,778.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.