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Finding the Fourth Proportional to 295,953.84, 443,934.84 and 96,275.28

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Solution

The fourth proportional to 295,953.84, 443,934.84 and 96,275.28 is: 144,414.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,953.84 : 443,934.84 = 96,275.28 : x
  2. Step 2: Convert to fraction form
    295,953.84/443,934.84 = 96,275.28/x
  3. Step 3: Cross multiply
    295,953.84x = 443,934.84 × 96,275.28
  4. Step 4: Simplify right side
    295,953.84x = 42,739,951,022.76
  5. Step 5: Solve for x
    x = 42,739,951,022.76/295,953.84
  6. Step 6: Final answer
    x = 144,414.25

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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.