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Finding the Fourth Proportional to 292,551.48, 438,842.25 and 82,205.82

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Solution

The fourth proportional to 292,551.48, 438,842.25 and 82,205.82 is: 123,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,551.48 : 438,842.25 = 82,205.82 : x
  2. Step 2: Convert to fraction form
    292,551.48/438,842.25 = 82,205.82/x
  3. Step 3: Cross multiply
    292,551.48x = 438,842.25 × 82,205.82
  4. Step 4: Simplify right side
    292,551.48x = 36,075,387,011.90
  5. Step 5: Solve for x
    x = 36,075,387,011.90/292,551.48
  6. Step 6: Final answer
    x = 123,312.95

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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.