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Finding the Fourth Proportional to 148,525.98, 205,045.47 and 114,709.47

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Solution

The fourth proportional to 148,525.98, 205,045.47 and 114,709.47 is: 158,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,525.98 : 205,045.47 = 114,709.47 : x
  2. Step 2: Convert to fraction form
    148,525.98/205,045.47 = 114,709.47/x
  3. Step 3: Cross multiply
    148,525.98x = 205,045.47 × 114,709.47
  4. Step 4: Simplify right side
    148,525.98x = 23,520,657,189.60
  5. Step 5: Solve for x
    x = 23,520,657,189.60/148,525.98
  6. Step 6: Final answer
    x = 158,360.56

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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.