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Finding the Fourth Proportional to 292,550.98, 438,841.50 and 82,205.32

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Solution

The fourth proportional to 292,550.98, 438,841.50 and 82,205.32 is: 123,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,550.98 : 438,841.50 = 82,205.32 : x
  2. Step 2: Convert to fraction form
    292,550.98/438,841.50 = 82,205.32/x
  3. Step 3: Cross multiply
    292,550.98x = 438,841.50 × 82,205.32
  4. Step 4: Simplify right side
    292,550.98x = 36,075,105,936.78
  5. Step 5: Solve for x
    x = 36,075,105,936.78/292,550.98
  6. Step 6: Final answer
    x = 123,312.20

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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.