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Finding the Fourth Proportional to 219,274.28, 328,646.55 and 106,785.93

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Solution

The fourth proportional to 219,274.28, 328,646.55 and 106,785.93 is: 160,049.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,274.28 : 328,646.55 = 106,785.93 : x
  2. Step 2: Convert to fraction form
    219,274.28/328,646.55 = 106,785.93/x
  3. Step 3: Cross multiply
    219,274.28x = 328,646.55 × 106,785.93
  4. Step 4: Simplify right side
    219,274.28x = 35,094,827,483.04
  5. Step 5: Solve for x
    x = 35,094,827,483.04/219,274.28
  6. Step 6: Final answer
    x = 160,049.90

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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.