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Finding the Fourth Proportional to 147,362.88, 221,087.44 and 47,521.06

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Solution

The fourth proportional to 147,362.88, 221,087.44 and 47,521.06 is: 71,295.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,362.88 : 221,087.44 = 47,521.06 : x
  2. Step 2: Convert to fraction form
    147,362.88/221,087.44 = 47,521.06/x
  3. Step 3: Cross multiply
    147,362.88x = 221,087.44 × 47,521.06
  4. Step 4: Simplify right side
    147,362.88x = 10,506,309,501.49
  5. Step 5: Solve for x
    x = 10,506,309,501.49/147,362.88
  6. Step 6: Final answer
    x = 71,295.50

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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.