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Finding the Fourth Proportional to 185,346, 255,804.80 and 117,369.18

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Solution

The fourth proportional to 185,346, 255,804.80 and 117,369.18 is: 161,986.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,346 : 255,804.80 = 117,369.18 : x
  2. Step 2: Convert to fraction form
    185,346/255,804.80 = 117,369.18/x
  3. Step 3: Cross multiply
    185,346x = 255,804.80 × 117,369.18
  4. Step 4: Simplify right side
    185,346x = 30,023,599,029.22
  5. Step 5: Solve for x
    x = 30,023,599,029.22/185,346
  6. Step 6: Final answer
    x = 161,986.77

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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.