Home / 314,106.06-471,114.63-100,892.51

Finding the Fourth Proportional to 314,106.06, 471,114.63 and 100,892.51

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Solution

The fourth proportional to 314,106.06, 471,114.63 and 100,892.51 is: 151,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,106.06 : 471,114.63 = 100,892.51 : x
  2. Step 2: Convert to fraction form
    314,106.06/471,114.63 = 100,892.51/x
  3. Step 3: Cross multiply
    314,106.06x = 471,114.63 × 100,892.51
  4. Step 4: Simplify right side
    314,106.06x = 47,531,935,162.85
  5. Step 5: Solve for x
    x = 47,531,935,162.85/314,106.06
  6. Step 6: Final answer
    x = 151,324.48

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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.