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Finding the Fourth Proportional to 148,551.47, 205,000.08 and 80,570.06

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Solution

The fourth proportional to 148,551.47, 205,000.08 and 80,570.06 is: 111,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,551.47 : 205,000.08 = 80,570.06 : x
  2. Step 2: Convert to fraction form
    148,551.47/205,000.08 = 80,570.06/x
  3. Step 3: Cross multiply
    148,551.47x = 205,000.08 × 80,570.06
  4. Step 4: Simplify right side
    148,551.47x = 16,516,868,745.60
  5. Step 5: Solve for x
    x = 16,516,868,745.60/148,551.47
  6. Step 6: Final answer
    x = 111,186.17

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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.