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Finding the Fourth Proportional to 129,223.51, 178,302.30 and 75,498.15

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Solution

The fourth proportional to 129,223.51, 178,302.30 and 75,498.15 is: 104,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,223.51 : 178,302.30 = 75,498.15 : x
  2. Step 2: Convert to fraction form
    129,223.51/178,302.30 = 75,498.15/x
  3. Step 3: Cross multiply
    129,223.51x = 178,302.30 × 75,498.15
  4. Step 4: Simplify right side
    129,223.51x = 13,461,493,790.75
  5. Step 5: Solve for x
    x = 13,461,493,790.75/129,223.51
  6. Step 6: Final answer
    x = 104,172.17

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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.