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Finding the Fourth Proportional to 98,111.88, 147,189.76 and 35,782.38

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Solution

The fourth proportional to 98,111.88, 147,189.76 and 35,782.38 is: 53,681.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,111.88 : 147,189.76 = 35,782.38 : x
  2. Step 2: Convert to fraction form
    98,111.88/147,189.76 = 35,782.38/x
  3. Step 3: Cross multiply
    98,111.88x = 147,189.76 × 35,782.38
  4. Step 4: Simplify right side
    98,111.88x = 5,266,799,924.43
  5. Step 5: Solve for x
    x = 5,266,799,924.43/98,111.88
  6. Step 6: Final answer
    x = 53,681.57

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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.