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Finding the Fourth Proportional to 184,095.51, 254,053.28 and 102,424.96

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Solution

The fourth proportional to 184,095.51, 254,053.28 and 102,424.96 is: 141,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,095.51 : 254,053.28 = 102,424.96 : x
  2. Step 2: Convert to fraction form
    184,095.51/254,053.28 = 102,424.96/x
  3. Step 3: Cross multiply
    184,095.51x = 254,053.28 × 102,424.96
  4. Step 4: Simplify right side
    184,095.51x = 26,021,397,041.87
  5. Step 5: Solve for x
    x = 26,021,397,041.87/184,095.51
  6. Step 6: Final answer
    x = 141,347.27

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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.