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Finding the Fourth Proportional to 99,710, 137,599.80 and 54,998

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Solution

The fourth proportional to 99,710, 137,599.80 and 54,998 is: 75,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,710 : 137,599.80 = 54,998 : x
  2. Step 2: Convert to fraction form
    99,710/137,599.80 = 54,998/x
  3. Step 3: Cross multiply
    99,710x = 137,599.80 × 54,998
  4. Step 4: Simplify right side
    99,710x = 7,567,713,800.40
  5. Step 5: Solve for x
    x = 7,567,713,800.40/99,710
  6. Step 6: Final answer
    x = 75,897.24

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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.