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Finding the Fourth Proportional to 301,953.15, 416,690.55 and 165,984.21

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Solution

The fourth proportional to 301,953.15, 416,690.55 and 165,984.21 is: 229,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,953.15 : 416,690.55 = 165,984.21 : x
  2. Step 2: Convert to fraction form
    301,953.15/416,690.55 = 165,984.21/x
  3. Step 3: Cross multiply
    301,953.15x = 416,690.55 × 165,984.21
  4. Step 4: Simplify right side
    301,953.15x = 69,164,051,756.22
  5. Step 5: Solve for x
    x = 69,164,051,756.22/301,953.15
  6. Step 6: Final answer
    x = 229,055.57

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Why These Related Problems?

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