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Finding the Fourth Proportional to 99,205.36, 136,914.60 and 56,770

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Solution

The fourth proportional to 99,205.36, 136,914.60 and 56,770 is: 78,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,205.36 : 136,914.60 = 56,770 : x
  2. Step 2: Convert to fraction form
    99,205.36/136,914.60 = 56,770/x
  3. Step 3: Cross multiply
    99,205.36x = 136,914.60 × 56,770
  4. Step 4: Simplify right side
    99,205.36x = 7,772,641,842
  5. Step 5: Solve for x
    x = 7,772,641,842/99,205.36
  6. Step 6: Final answer
    x = 78,349.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.