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Finding the Fourth Proportional to 129,213.77, 178,274.93 and 75,460.01

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Solution

The fourth proportional to 129,213.77, 178,274.93 and 75,460.01 is: 104,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,213.77 : 178,274.93 = 75,460.01 : x
  2. Step 2: Convert to fraction form
    129,213.77/178,274.93 = 75,460.01/x
  3. Step 3: Cross multiply
    129,213.77x = 178,274.93 × 75,460.01
  4. Step 4: Simplify right side
    129,213.77x = 13,452,626,731.87
  5. Step 5: Solve for x
    x = 13,452,626,731.87/129,213.77
  6. Step 6: Final answer
    x = 104,111.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.