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Finding the Fourth Proportional to 176,665, 243,797.70 and 101,257.24

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Solution

The fourth proportional to 176,665, 243,797.70 and 101,257.24 is: 139,734.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,665 : 243,797.70 = 101,257.24 : x
  2. Step 2: Convert to fraction form
    176,665/243,797.70 = 101,257.24/x
  3. Step 3: Cross multiply
    176,665x = 243,797.70 × 101,257.24
  4. Step 4: Simplify right side
    176,665x = 24,686,282,220.35
  5. Step 5: Solve for x
    x = 24,686,282,220.35/176,665
  6. Step 6: Final answer
    x = 139,734.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.