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Finding the Fourth Proportional to 302,075.36, 416,874.48 and 166,114.88

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Solution

The fourth proportional to 302,075.36, 416,874.48 and 166,114.88 is: 229,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,075.36 : 416,874.48 = 166,114.88 : x
  2. Step 2: Convert to fraction form
    302,075.36/416,874.48 = 166,114.88/x
  3. Step 3: Cross multiply
    302,075.36x = 416,874.48 × 166,114.88
  4. Step 4: Simplify right side
    302,075.36x = 69,249,054,220.26
  5. Step 5: Solve for x
    x = 69,249,054,220.26/302,075.36
  6. Step 6: Final answer
    x = 229,244.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.