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Finding the Fourth Proportional to 302,114.88, 453,075.31 and 99,665.48

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Solution

The fourth proportional to 302,114.88, 453,075.31 and 99,665.48 is: 149,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,114.88 : 453,075.31 = 99,665.48 : x
  2. Step 2: Convert to fraction form
    302,114.88/453,075.31 = 99,665.48/x
  3. Step 3: Cross multiply
    302,114.88x = 453,075.31 × 99,665.48
  4. Step 4: Simplify right side
    302,114.88x = 45,155,968,247.30
  5. Step 5: Solve for x
    x = 45,155,968,247.30/302,114.88
  6. Step 6: Final answer
    x = 149,466.22

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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.