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Finding the Fourth Proportional to 194,809.80, 292,214.70 and 174,880.76

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Solution

The fourth proportional to 194,809.80, 292,214.70 and 174,880.76 is: 262,321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,809.80 : 292,214.70 = 174,880.76 : x
  2. Step 2: Convert to fraction form
    194,809.80/292,214.70 = 174,880.76/x
  3. Step 3: Cross multiply
    194,809.80x = 292,214.70 × 174,880.76
  4. Step 4: Simplify right side
    194,809.80x = 51,102,729,549.71
  5. Step 5: Solve for x
    x = 51,102,729,549.71/194,809.80
  6. Step 6: Final answer
    x = 262,321.14

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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.