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Finding the Fourth Proportional to 102,829, 141,904.26 and 58,117

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Solution

The fourth proportional to 102,829, 141,904.26 and 58,117 is: 80,201.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,829 : 141,904.26 = 58,117 : x
  2. Step 2: Convert to fraction form
    102,829/141,904.26 = 58,117/x
  3. Step 3: Cross multiply
    102,829x = 141,904.26 × 58,117
  4. Step 4: Simplify right side
    102,829x = 8,247,049,878.42
  5. Step 5: Solve for x
    x = 8,247,049,878.42/102,829
  6. Step 6: Final answer
    x = 80,201.60

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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.