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Finding the Fourth Proportional to 295,871.40, 443,807.10 and 96,198.30

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Solution

The fourth proportional to 295,871.40, 443,807.10 and 96,198.30 is: 144,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,871.40 : 443,807.10 = 96,198.30 : x
  2. Step 2: Convert to fraction form
    295,871.40/443,807.10 = 96,198.30/x
  3. Step 3: Cross multiply
    295,871.40x = 443,807.10 × 96,198.30
  4. Step 4: Simplify right side
    295,871.40x = 42,693,488,547.93
  5. Step 5: Solve for x
    x = 42,693,488,547.93/295,871.40
  6. Step 6: Final answer
    x = 144,297.45

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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.