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Finding the Fourth Proportional to 292,161.16, 403,194.42 and 164,836.12

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Solution

The fourth proportional to 292,161.16, 403,194.42 and 164,836.12 is: 227,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,161.16 : 403,194.42 = 164,836.12 : x
  2. Step 2: Convert to fraction form
    292,161.16/403,194.42 = 164,836.12/x
  3. Step 3: Cross multiply
    292,161.16x = 403,194.42 × 164,836.12
  4. Step 4: Simplify right side
    292,161.16x = 66,461,003,798.45
  5. Step 5: Solve for x
    x = 66,461,003,798.45/292,161.16
  6. Step 6: Final answer
    x = 227,480.63

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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.