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Finding the Fourth Proportional to 102,763.46, 141,802.16 and 58,051.46

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Solution

The fourth proportional to 102,763.46, 141,802.16 and 58,051.46 is: 80,104.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,763.46 : 141,802.16 = 58,051.46 : x
  2. Step 2: Convert to fraction form
    102,763.46/141,802.16 = 58,051.46/x
  3. Step 3: Cross multiply
    102,763.46x = 141,802.16 × 58,051.46
  4. Step 4: Simplify right side
    102,763.46x = 8,231,822,419.15
  5. Step 5: Solve for x
    x = 8,231,822,419.15/102,763.46
  6. Step 6: Final answer
    x = 80,104.57

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Why These Related Problems?

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