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Finding the Fourth Proportional to 204,708.70, 282,498.59 and 118,684.40

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Solution

The fourth proportional to 204,708.70, 282,498.59 and 118,684.40 is: 163,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,708.70 : 282,498.59 = 118,684.40 : x
  2. Step 2: Convert to fraction form
    204,708.70/282,498.59 = 118,684.40/x
  3. Step 3: Cross multiply
    204,708.70x = 282,498.59 × 118,684.40
  4. Step 4: Simplify right side
    204,708.70x = 33,528,175,655.00
  5. Step 5: Solve for x
    x = 33,528,175,655.00/204,708.70
  6. Step 6: Final answer
    x = 163,784.81

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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.