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Finding the Fourth Proportional to 109,598, 151,245.26 and 59,297

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Solution

The fourth proportional to 109,598, 151,245.26 and 59,297 is: 81,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,598 : 151,245.26 = 59,297 : x
  2. Step 2: Convert to fraction form
    109,598/151,245.26 = 59,297/x
  3. Step 3: Cross multiply
    109,598x = 151,245.26 × 59,297
  4. Step 4: Simplify right side
    109,598x = 8,968,390,182.22
  5. Step 5: Solve for x
    x = 8,968,390,182.22/109,598
  6. Step 6: Final answer
    x = 81,829.87

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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.