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Finding the Fourth Proportional to 285,954.88, 429,075.36 and 128,296

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Solution

The fourth proportional to 285,954.88, 429,075.36 and 128,296 is: 192,508.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,954.88 : 429,075.36 = 128,296 : x
  2. Step 2: Convert to fraction form
    285,954.88/429,075.36 = 128,296/x
  3. Step 3: Cross multiply
    285,954.88x = 429,075.36 × 128,296
  4. Step 4: Simplify right side
    285,954.88x = 55,048,652,386.56
  5. Step 5: Solve for x
    x = 55,048,652,386.56/285,954.88
  6. Step 6: Final answer
    x = 192,508.18

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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.