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Finding the Fourth Proportional to 101,306, 151,573.50 and 61,177.28

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Solution

The fourth proportional to 101,306, 151,573.50 and 61,177.28 is: 91,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,306 : 151,573.50 = 61,177.28 : x
  2. Step 2: Convert to fraction form
    101,306/151,573.50 = 61,177.28/x
  3. Step 3: Cross multiply
    101,306x = 151,573.50 × 61,177.28
  4. Step 4: Simplify right side
    101,306x = 9,272,854,450.08
  5. Step 5: Solve for x
    x = 9,272,854,450.08/101,306
  6. Step 6: Final answer
    x = 91,533.12

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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.