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Finding the Fourth Proportional to 294,075.20, 441,112.80 and 153,876.80

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Solution

The fourth proportional to 294,075.20, 441,112.80 and 153,876.80 is: 230,815.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,075.20 : 441,112.80 = 153,876.80 : x
  2. Step 2: Convert to fraction form
    294,075.20/441,112.80 = 153,876.80/x
  3. Step 3: Cross multiply
    294,075.20x = 441,112.80 × 153,876.80
  4. Step 4: Simplify right side
    294,075.20x = 67,877,026,103.04
  5. Step 5: Solve for x
    x = 67,877,026,103.04/294,075.20
  6. Step 6: Final answer
    x = 230,815.20

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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.