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Finding the Fourth Proportional to 205,080.32, 282,968.59 and 117,848.57

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Solution

The fourth proportional to 205,080.32, 282,968.59 and 117,848.57 is: 162,606.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,080.32 : 282,968.59 = 117,848.57 : x
  2. Step 2: Convert to fraction form
    205,080.32/282,968.59 = 117,848.57/x
  3. Step 3: Cross multiply
    205,080.32x = 282,968.59 × 117,848.57
  4. Step 4: Simplify right side
    205,080.32x = 33,347,443,686.42
  5. Step 5: Solve for x
    x = 33,347,443,686.42/205,080.32
  6. Step 6: Final answer
    x = 162,606.75

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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.