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Finding the Fourth Proportional to 177,807.60, 266,711.40 and 164,847.60

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Solution

The fourth proportional to 177,807.60, 266,711.40 and 164,847.60 is: 247,271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,807.60 : 266,711.40 = 164,847.60 : x
  2. Step 2: Convert to fraction form
    177,807.60/266,711.40 = 164,847.60/x
  3. Step 3: Cross multiply
    177,807.60x = 266,711.40 × 164,847.60
  4. Step 4: Simplify right side
    177,807.60x = 43,966,734,182.64
  5. Step 5: Solve for x
    x = 43,966,734,182.64/177,807.60
  6. Step 6: Final answer
    x = 247,271.40

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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.