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Finding the Fourth Proportional to 99,114, 136,759.68 and 56,093.28

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Solution

The fourth proportional to 99,114, 136,759.68 and 56,093.28 is: 77,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,114 : 136,759.68 = 56,093.28 : x
  2. Step 2: Convert to fraction form
    99,114/136,759.68 = 56,093.28/x
  3. Step 3: Cross multiply
    99,114x = 136,759.68 × 56,093.28
  4. Step 4: Simplify right side
    99,114x = 7,671,299,022.95
  5. Step 5: Solve for x
    x = 7,671,299,022.95/99,114
  6. Step 6: Final answer
    x = 77,398.74

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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.