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Finding the Fourth Proportional to 191,803.57, 287,788.34 and 102,953.32

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Solution

The fourth proportional to 191,803.57, 287,788.34 and 102,953.32 is: 154,474.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,803.57 : 287,788.34 = 102,953.32 : x
  2. Step 2: Convert to fraction form
    191,803.57/287,788.34 = 102,953.32/x
  3. Step 3: Cross multiply
    191,803.57x = 287,788.34 × 102,953.32
  4. Step 4: Simplify right side
    191,803.57x = 29,628,764,598.20
  5. Step 5: Solve for x
    x = 29,628,764,598.20/191,803.57
  6. Step 6: Final answer
    x = 154,474.52

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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.