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Finding the Fourth Proportional to 292,196.88, 403,222.44 and 164,870.64

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Solution

The fourth proportional to 292,196.88, 403,222.44 and 164,870.64 is: 227,516.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,196.88 : 403,222.44 = 164,870.64 : x
  2. Step 2: Convert to fraction form
    292,196.88/403,222.44 = 164,870.64/x
  3. Step 3: Cross multiply
    292,196.88x = 403,222.44 × 164,870.64
  4. Step 4: Simplify right side
    292,196.88x = 66,479,541,745.16
  5. Step 5: Solve for x
    x = 66,479,541,745.16/292,196.88
  6. Step 6: Final answer
    x = 227,516.26

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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.