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Finding the Fourth Proportional to 103,155.95, 154,734.50 and 46,956.76

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Solution

The fourth proportional to 103,155.95, 154,734.50 and 46,956.76 is: 70,435.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,155.95 : 154,734.50 = 46,956.76 : x
  2. Step 2: Convert to fraction form
    103,155.95/154,734.50 = 46,956.76/x
  3. Step 3: Cross multiply
    103,155.95x = 154,734.50 × 46,956.76
  4. Step 4: Simplify right side
    103,155.95x = 7,265,830,780.22
  5. Step 5: Solve for x
    x = 7,265,830,780.22/103,155.95
  6. Step 6: Final answer
    x = 70,435.40

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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.