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Finding the Fourth Proportional to 123,145.92, 184,680 and 53,006.40

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Solution

The fourth proportional to 123,145.92, 184,680 and 53,006.40 is: 79,492.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,145.92 : 184,680 = 53,006.40 : x
  2. Step 2: Convert to fraction form
    123,145.92/184,680 = 53,006.40/x
  3. Step 3: Cross multiply
    123,145.92x = 184,680 × 53,006.40
  4. Step 4: Simplify right side
    123,145.92x = 9,789,221,952
  5. Step 5: Solve for x
    x = 9,789,221,952/123,145.92
  6. Step 6: Final answer
    x = 79,492.86

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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.