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Finding the Fourth Proportional to 200,145.40, 299,489.10 and 147,657.40

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Solution

The fourth proportional to 200,145.40, 299,489.10 and 147,657.40 is: 220,948.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,145.40 : 299,489.10 = 147,657.40 : x
  2. Step 2: Convert to fraction form
    200,145.40/299,489.10 = 147,657.40/x
  3. Step 3: Cross multiply
    200,145.40x = 299,489.10 × 147,657.40
  4. Step 4: Simplify right side
    200,145.40x = 44,221,781,834.34
  5. Step 5: Solve for x
    x = 44,221,781,834.34/200,145.40
  6. Step 6: Final answer
    x = 220,948.28

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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.