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Finding the Fourth Proportional to 127,414.84, 175,838.70 and 70,825

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Solution

The fourth proportional to 127,414.84, 175,838.70 and 70,825 is: 97,741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,414.84 : 175,838.70 = 70,825 : x
  2. Step 2: Convert to fraction form
    127,414.84/175,838.70 = 70,825/x
  3. Step 3: Cross multiply
    127,414.84x = 175,838.70 × 70,825
  4. Step 4: Simplify right side
    127,414.84x = 12,453,775,927.50
  5. Step 5: Solve for x
    x = 12,453,775,927.50/127,414.84
  6. Step 6: Final answer
    x = 97,741.96

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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.