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Finding the Fourth Proportional to 302,032.84, 416,806.88 and 166,075.54

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Solution

The fourth proportional to 302,032.84, 416,806.88 and 166,075.54 is: 229,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,032.84 : 416,806.88 = 166,075.54 : x
  2. Step 2: Convert to fraction form
    302,032.84/416,806.88 = 166,075.54/x
  3. Step 3: Cross multiply
    302,032.84x = 416,806.88 × 166,075.54
  4. Step 4: Simplify right side
    302,032.84x = 69,221,427,671.72
  5. Step 5: Solve for x
    x = 69,221,427,671.72/302,032.84
  6. Step 6: Final answer
    x = 229,185.10

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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.