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Finding the Fourth Proportional to 184,653, 254,821.14 and 105,165

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Solution

The fourth proportional to 184,653, 254,821.14 and 105,165 is: 145,127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,653 : 254,821.14 = 105,165 : x
  2. Step 2: Convert to fraction form
    184,653/254,821.14 = 105,165/x
  3. Step 3: Cross multiply
    184,653x = 254,821.14 × 105,165
  4. Step 4: Simplify right side
    184,653x = 26,798,265,188.10
  5. Step 5: Solve for x
    x = 26,798,265,188.10/184,653
  6. Step 6: Final answer
    x = 145,127.70

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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.