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Finding the Fourth Proportional to 123,088.16, 184,689.65 and 48,188.88

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Solution

The fourth proportional to 123,088.16, 184,689.65 and 48,188.88 is: 72,305.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,088.16 : 184,689.65 = 48,188.88 : x
  2. Step 2: Convert to fraction form
    123,088.16/184,689.65 = 48,188.88/x
  3. Step 3: Cross multiply
    123,088.16x = 184,689.65 × 48,188.88
  4. Step 4: Simplify right side
    123,088.16x = 8,899,987,501.56
  5. Step 5: Solve for x
    x = 8,899,987,501.56/123,088.16
  6. Step 6: Final answer
    x = 72,305.80

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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.