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Finding the Fourth Proportional to 103,153.95, 154,731.50 and 46,954.76

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Solution

The fourth proportional to 103,153.95, 154,731.50 and 46,954.76 is: 70,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,153.95 : 154,731.50 = 46,954.76 : x
  2. Step 2: Convert to fraction form
    103,153.95/154,731.50 = 46,954.76/x
  3. Step 3: Cross multiply
    103,153.95x = 154,731.50 × 46,954.76
  4. Step 4: Simplify right side
    103,153.95x = 7,265,380,446.94
  5. Step 5: Solve for x
    x = 7,265,380,446.94/103,153.95
  6. Step 6: Final answer
    x = 70,432.40

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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.