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Finding the Fourth Proportional to 183,071.44, 274,710.96 and 98,830.48

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Solution

The fourth proportional to 183,071.44, 274,710.96 and 98,830.48 is: 148,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,071.44 : 274,710.96 = 98,830.48 : x
  2. Step 2: Convert to fraction form
    183,071.44/274,710.96 = 98,830.48/x
  3. Step 3: Cross multiply
    183,071.44x = 274,710.96 × 98,830.48
  4. Step 4: Simplify right side
    183,071.44x = 27,149,816,038.06
  5. Step 5: Solve for x
    x = 27,149,816,038.06/183,071.44
  6. Step 6: Final answer
    x = 148,301.76

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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.