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Finding the Fourth Proportional to 122,718.51, 184,080.06 and 38,476.80

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Solution

The fourth proportional to 122,718.51, 184,080.06 and 38,476.80 is: 57,715.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,718.51 : 184,080.06 = 38,476.80 : x
  2. Step 2: Convert to fraction form
    122,718.51/184,080.06 = 38,476.80/x
  3. Step 3: Cross multiply
    122,718.51x = 184,080.06 × 38,476.80
  4. Step 4: Simplify right side
    122,718.51x = 7,082,811,652.61
  5. Step 5: Solve for x
    x = 7,082,811,652.61/122,718.51
  6. Step 6: Final answer
    x = 57,715.92

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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.