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Finding the Fourth Proportional to 208,151.40, 311,996.70 and 89,802.60

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Solution

The fourth proportional to 208,151.40, 311,996.70 and 89,802.60 is: 134,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,151.40 : 311,996.70 = 89,802.60 : x
  2. Step 2: Convert to fraction form
    208,151.40/311,996.70 = 89,802.60/x
  3. Step 3: Cross multiply
    208,151.40x = 311,996.70 × 89,802.60
  4. Step 4: Simplify right side
    208,151.40x = 28,018,114,851.42
  5. Step 5: Solve for x
    x = 28,018,114,851.42/208,151.40
  6. Step 6: Final answer
    x = 134,604.50

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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.