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Finding the Fourth Proportional to 320,875.22, 442,854.14 and 184,883.11

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Solution

The fourth proportional to 320,875.22, 442,854.14 and 184,883.11 is: 255,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,875.22 : 442,854.14 = 184,883.11 : x
  2. Step 2: Convert to fraction form
    320,875.22/442,854.14 = 184,883.11/x
  3. Step 3: Cross multiply
    320,875.22x = 442,854.14 × 184,883.11
  4. Step 4: Simplify right side
    320,875.22x = 81,876,248,648.02
  5. Step 5: Solve for x
    x = 81,876,248,648.02/320,875.22
  6. Step 6: Final answer
    x = 255,165.38

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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.