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Finding the Fourth Proportional to 123,037.10, 184,555.65 and 85,712.30

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Solution

The fourth proportional to 123,037.10, 184,555.65 and 85,712.30 is: 128,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,037.10 : 184,555.65 = 85,712.30 : x
  2. Step 2: Convert to fraction form
    123,037.10/184,555.65 = 85,712.30/x
  3. Step 3: Cross multiply
    123,037.10x = 184,555.65 × 85,712.30
  4. Step 4: Simplify right side
    123,037.10x = 15,818,689,239.50
  5. Step 5: Solve for x
    x = 15,818,689,239.50/123,037.10
  6. Step 6: Final answer
    x = 128,568.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.