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Finding the Fourth Proportional to 147,705.96, 203,827.14 and 84,037.80

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Solution

The fourth proportional to 147,705.96, 203,827.14 and 84,037.80 is: 115,968.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,705.96 : 203,827.14 = 84,037.80 : x
  2. Step 2: Convert to fraction form
    147,705.96/203,827.14 = 84,037.80/x
  3. Step 3: Cross multiply
    147,705.96x = 203,827.14 × 84,037.80
  4. Step 4: Simplify right side
    147,705.96x = 17,129,184,425.89
  5. Step 5: Solve for x
    x = 17,129,184,425.89/147,705.96
  6. Step 6: Final answer
    x = 115,968.13

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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.