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Finding the Fourth Proportional to 302,075.41, 452,830.01 and 102,255.97

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Solution

The fourth proportional to 302,075.41, 452,830.01 and 102,255.97 is: 153,288.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,075.41 : 452,830.01 = 102,255.97 : x
  2. Step 2: Convert to fraction form
    302,075.41/452,830.01 = 102,255.97/x
  3. Step 3: Cross multiply
    302,075.41x = 452,830.01 × 102,255.97
  4. Step 4: Simplify right side
    302,075.41x = 46,304,571,917.66
  5. Step 5: Solve for x
    x = 46,304,571,917.66/302,075.41
  6. Step 6: Final answer
    x = 153,288.12

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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.