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Finding the Fourth Proportional to 302,032.95, 416,806.56 and 166,075.47

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Solution

The fourth proportional to 302,032.95, 416,806.56 and 166,075.47 is: 229,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,032.95 : 416,806.56 = 166,075.47 : x
  2. Step 2: Convert to fraction form
    302,032.95/416,806.56 = 166,075.47/x
  3. Step 3: Cross multiply
    302,032.95x = 416,806.56 × 166,075.47
  4. Step 4: Simplify right side
    302,032.95x = 69,221,345,351.08
  5. Step 5: Solve for x
    x = 69,221,345,351.08/302,032.95
  6. Step 6: Final answer
    x = 229,184.75

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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.