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Finding the Fourth Proportional to 219,943.40, 330,080.96 and 160,931.32

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Solution

The fourth proportional to 219,943.40, 330,080.96 and 160,931.32 is: 241,518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,943.40 : 330,080.96 = 160,931.32 : x
  2. Step 2: Convert to fraction form
    219,943.40/330,080.96 = 160,931.32/x
  3. Step 3: Cross multiply
    219,943.40x = 330,080.96 × 160,931.32
  4. Step 4: Simplify right side
    219,943.40x = 53,120,364,599.67
  5. Step 5: Solve for x
    x = 53,120,364,599.67/219,943.40
  6. Step 6: Final answer
    x = 241,518.34

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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.