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Finding the Fourth Proportional to 102,074.99, 152,956.55 and 42,878.30

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Solution

The fourth proportional to 102,074.99, 152,956.55 and 42,878.30 is: 64,251.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,074.99 : 152,956.55 = 42,878.30 : x
  2. Step 2: Convert to fraction form
    102,074.99/152,956.55 = 42,878.30/x
  3. Step 3: Cross multiply
    102,074.99x = 152,956.55 × 42,878.30
  4. Step 4: Simplify right side
    102,074.99x = 6,558,516,180.28
  5. Step 5: Solve for x
    x = 6,558,516,180.28/102,074.99
  6. Step 6: Final answer
    x = 64,251.94

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