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Finding the Fourth Proportional to 98,957, 136,561.14 and 59,213

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Solution

The fourth proportional to 98,957, 136,561.14 and 59,213 is: 81,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,957 : 136,561.14 = 59,213 : x
  2. Step 2: Convert to fraction form
    98,957/136,561.14 = 59,213/x
  3. Step 3: Cross multiply
    98,957x = 136,561.14 × 59,213
  4. Step 4: Simplify right side
    98,957x = 8,086,194,782.82
  5. Step 5: Solve for x
    x = 8,086,194,782.82/98,957
  6. Step 6: Final answer
    x = 81,714.23

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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.