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Finding the Fourth Proportional to 200,097.40, 299,417.10 and 147,609.40

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Solution

The fourth proportional to 200,097.40, 299,417.10 and 147,609.40 is: 220,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,097.40 : 299,417.10 = 147,609.40 : x
  2. Step 2: Convert to fraction form
    200,097.40/299,417.10 = 147,609.40/x
  3. Step 3: Cross multiply
    200,097.40x = 299,417.10 × 147,609.40
  4. Step 4: Simplify right side
    200,097.40x = 44,196,778,480.74
  5. Step 5: Solve for x
    x = 44,196,778,480.74/200,097.40
  6. Step 6: Final answer
    x = 220,876.33

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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.