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Finding the Fourth Proportional to 184,443.76, 254,545.40 and 102,777.40

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Solution

The fourth proportional to 184,443.76, 254,545.40 and 102,777.40 is: 141,840.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,443.76 : 254,545.40 = 102,777.40 : x
  2. Step 2: Convert to fraction form
    184,443.76/254,545.40 = 102,777.40/x
  3. Step 3: Cross multiply
    184,443.76x = 254,545.40 × 102,777.40
  4. Step 4: Simplify right side
    184,443.76x = 26,161,514,393.96
  5. Step 5: Solve for x
    x = 26,161,514,393.96/184,443.76
  6. Step 6: Final answer
    x = 141,840.06

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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.