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Finding the Fourth Proportional to 130,990.92, 196,322.07 and 56,023.06

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Solution

The fourth proportional to 130,990.92, 196,322.07 and 56,023.06 is: 83,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,990.92 : 196,322.07 = 56,023.06 : x
  2. Step 2: Convert to fraction form
    130,990.92/196,322.07 = 56,023.06/x
  3. Step 3: Cross multiply
    130,990.92x = 196,322.07 × 56,023.06
  4. Step 4: Simplify right side
    130,990.92x = 10,998,563,106.93
  5. Step 5: Solve for x
    x = 10,998,563,106.93/130,990.92
  6. Step 6: Final answer
    x = 83,964.32

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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.