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Finding the Fourth Proportional to 200,769.40, 301,154.10 and 148,281.40

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Solution

The fourth proportional to 200,769.40, 301,154.10 and 148,281.40 is: 222,422.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,769.40 : 301,154.10 = 148,281.40 : x
  2. Step 2: Convert to fraction form
    200,769.40/301,154.10 = 148,281.40/x
  3. Step 3: Cross multiply
    200,769.40x = 301,154.10 × 148,281.40
  4. Step 4: Simplify right side
    200,769.40x = 44,655,551,563.74
  5. Step 5: Solve for x
    x = 44,655,551,563.74/200,769.40
  6. Step 6: Final answer
    x = 222,422.10

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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.