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Finding the Fourth Proportional to 201,955.98, 302,995.49 and 95,421.74

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Solution

The fourth proportional to 201,955.98, 302,995.49 and 95,421.74 is: 143,161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,955.98 : 302,995.49 = 95,421.74 : x
  2. Step 2: Convert to fraction form
    201,955.98/302,995.49 = 95,421.74/x
  3. Step 3: Cross multiply
    201,955.98x = 302,995.49 × 95,421.74
  4. Step 4: Simplify right side
    201,955.98x = 28,912,357,106.51
  5. Step 5: Solve for x
    x = 28,912,357,106.51/201,955.98
  6. Step 6: Final answer
    x = 143,161.68

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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.