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Finding the Fourth Proportional to 144,506.16, 216,676.08 and 55,684.80

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Solution

The fourth proportional to 144,506.16, 216,676.08 and 55,684.80 is: 83,495.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,506.16 : 216,676.08 = 55,684.80 : x
  2. Step 2: Convert to fraction form
    144,506.16/216,676.08 = 55,684.80/x
  3. Step 3: Cross multiply
    144,506.16x = 216,676.08 × 55,684.80
  4. Step 4: Simplify right side
    144,506.16x = 12,065,564,179.58
  5. Step 5: Solve for x
    x = 12,065,564,179.58/144,506.16
  6. Step 6: Final answer
    x = 83,495.15

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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.