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Finding the Fourth Proportional to 98,221.82, 147,267.11 and 30,731.00

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Solution

The fourth proportional to 98,221.82, 147,267.11 and 30,731.00 is: 46,075.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,221.82 : 147,267.11 = 30,731.00 : x
  2. Step 2: Convert to fraction form
    98,221.82/147,267.11 = 30,731.00/x
  3. Step 3: Cross multiply
    98,221.82x = 147,267.11 × 30,731.00
  4. Step 4: Simplify right side
    98,221.82x = 4,525,664,897.90
  5. Step 5: Solve for x
    x = 4,525,664,897.90/98,221.82
  6. Step 6: Final answer
    x = 46,075.96

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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.