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Finding the Fourth Proportional to 99,410.88, 137,184.28 and 56,398.24

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Solution

The fourth proportional to 99,410.88, 137,184.28 and 56,398.24 is: 77,828.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,410.88 : 137,184.28 = 56,398.24 : x
  2. Step 2: Convert to fraction form
    99,410.88/137,184.28 = 56,398.24/x
  3. Step 3: Cross multiply
    99,410.88x = 137,184.28 × 56,398.24
  4. Step 4: Simplify right side
    99,410.88x = 7,736,951,947.67
  5. Step 5: Solve for x
    x = 7,736,951,947.67/99,410.88
  6. Step 6: Final answer
    x = 77,828.02

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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.