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Finding the Fourth Proportional to 177,000.84, 265,501.26 and 103,077

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Solution

The fourth proportional to 177,000.84, 265,501.26 and 103,077 is: 154,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,000.84 : 265,501.26 = 103,077 : x
  2. Step 2: Convert to fraction form
    177,000.84/265,501.26 = 103,077/x
  3. Step 3: Cross multiply
    177,000.84x = 265,501.26 × 103,077
  4. Step 4: Simplify right side
    177,000.84x = 27,367,073,377.02
  5. Step 5: Solve for x
    x = 27,367,073,377.02/177,000.84
  6. Step 6: Final answer
    x = 154,615.50

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1.5x scale

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.