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Finding the Fourth Proportional to 177,655.40, 266,628.90 and 171,823.40

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Solution

The fourth proportional to 177,655.40, 266,628.90 and 171,823.40 is: 257,876.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,655.40 : 266,628.90 = 171,823.40 : x
  2. Step 2: Convert to fraction form
    177,655.40/266,628.90 = 171,823.40/x
  3. Step 3: Cross multiply
    177,655.40x = 266,628.90 × 171,823.40
  4. Step 4: Simplify right side
    177,655.40x = 45,813,084,136.26
  5. Step 5: Solve for x
    x = 45,813,084,136.26/177,655.40
  6. Step 6: Final answer
    x = 257,876.11

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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.