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Finding the Fourth Proportional to 292,135.04, 403,111.68 and 164,803.20

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Solution

The fourth proportional to 292,135.04, 403,111.68 and 164,803.20 is: 227,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,135.04 : 403,111.68 = 164,803.20 : x
  2. Step 2: Convert to fraction form
    292,135.04/403,111.68 = 164,803.20/x
  3. Step 3: Cross multiply
    292,135.04x = 403,111.68 × 164,803.20
  4. Step 4: Simplify right side
    292,135.04x = 66,434,094,821.38
  5. Step 5: Solve for x
    x = 66,434,094,821.38/292,135.04
  6. Step 6: Final answer
    x = 227,408.85

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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.