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Finding the Fourth Proportional to 202,271.40, 302,715.90 and 177,388.20

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Solution

The fourth proportional to 202,271.40, 302,715.90 and 177,388.20 is: 265,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,271.40 : 302,715.90 = 177,388.20 : x
  2. Step 2: Convert to fraction form
    202,271.40/302,715.90 = 177,388.20/x
  3. Step 3: Cross multiply
    202,271.40x = 302,715.90 × 177,388.20
  4. Step 4: Simplify right side
    202,271.40x = 53,698,228,612.38
  5. Step 5: Solve for x
    x = 53,698,228,612.38/202,271.40
  6. Step 6: Final answer
    x = 265,476.13

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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.