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Finding the Fourth Proportional to 102,658, 154,048.44 and 44,290

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Solution

The fourth proportional to 102,658, 154,048.44 and 44,290 is: 66,461.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,658 : 154,048.44 = 44,290 : x
  2. Step 2: Convert to fraction form
    102,658/154,048.44 = 44,290/x
  3. Step 3: Cross multiply
    102,658x = 154,048.44 × 44,290
  4. Step 4: Simplify right side
    102,658x = 6,822,805,407.60
  5. Step 5: Solve for x
    x = 6,822,805,407.60/102,658
  6. Step 6: Final answer
    x = 66,461.51

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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.