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Finding the Fourth Proportional to 193,253.76, 289,877.76 and 66,985.92

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Solution

The fourth proportional to 193,253.76, 289,877.76 and 66,985.92 is: 100,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,253.76 : 289,877.76 = 66,985.92 : x
  2. Step 2: Convert to fraction form
    193,253.76/289,877.76 = 66,985.92/x
  3. Step 3: Cross multiply
    193,253.76x = 289,877.76 × 66,985.92
  4. Step 4: Simplify right side
    193,253.76x = 19,417,728,441.14
  5. Step 5: Solve for x
    x = 19,417,728,441.14/193,253.76
  6. Step 6: Final answer
    x = 100,477.88

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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.