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Finding the Fourth Proportional to 193,187, 289,807.54 and 182,563

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Solution

The fourth proportional to 193,187, 289,807.54 and 182,563 is: 273,870.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,187 : 289,807.54 = 182,563 : x
  2. Step 2: Convert to fraction form
    193,187/289,807.54 = 182,563/x
  3. Step 3: Cross multiply
    193,187x = 289,807.54 × 182,563
  4. Step 4: Simplify right side
    193,187x = 52,908,133,925.02
  5. Step 5: Solve for x
    x = 52,908,133,925.02/193,187
  6. Step 6: Final answer
    x = 273,870.05

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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.