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Finding the Fourth Proportional to 123,283.65, 184,931.55 and 64,234.65

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Solution

The fourth proportional to 123,283.65, 184,931.55 and 64,234.65 is: 96,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,283.65 : 184,931.55 = 64,234.65 : x
  2. Step 2: Convert to fraction form
    123,283.65/184,931.55 = 64,234.65/x
  3. Step 3: Cross multiply
    123,283.65x = 184,931.55 × 64,234.65
  4. Step 4: Simplify right side
    123,283.65x = 11,879,013,388.21
  5. Step 5: Solve for x
    x = 11,879,013,388.21/123,283.65
  6. Step 6: Final answer
    x = 96,355.14

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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.