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Finding the Fourth Proportional to 136,638.81, 204,952.40 and 46,689.60

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Solution

The fourth proportional to 136,638.81, 204,952.40 and 46,689.60 is: 70,032.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,638.81 : 204,952.40 = 46,689.60 : x
  2. Step 2: Convert to fraction form
    136,638.81/204,952.40 = 46,689.60/x
  3. Step 3: Cross multiply
    136,638.81x = 204,952.40 × 46,689.60
  4. Step 4: Simplify right side
    136,638.81x = 9,569,145,341.59
  5. Step 5: Solve for x
    x = 9,569,145,341.59/136,638.81
  6. Step 6: Final answer
    x = 70,032.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.