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Finding the Fourth Proportional to 109,898, 151,659.24 and 59,597.12

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Solution

The fourth proportional to 109,898, 151,659.24 and 59,597.12 is: 82,244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,898 : 151,659.24 = 59,597.12 : x
  2. Step 2: Convert to fraction form
    109,898/151,659.24 = 59,597.12/x
  3. Step 3: Cross multiply
    109,898x = 151,659.24 × 59,597.12
  4. Step 4: Simplify right side
    109,898x = 9,038,453,925.39
  5. Step 5: Solve for x
    x = 9,038,453,925.39/109,898
  6. Step 6: Final answer
    x = 82,244.03

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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.