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Finding the Fourth Proportional to 193,533.40, 290,300.10 and 181,869.40

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Solution

The fourth proportional to 193,533.40, 290,300.10 and 181,869.40 is: 272,804.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,533.40 : 290,300.10 = 181,869.40 : x
  2. Step 2: Convert to fraction form
    193,533.40/290,300.10 = 181,869.40/x
  3. Step 3: Cross multiply
    193,533.40x = 290,300.10 × 181,869.40
  4. Step 4: Simplify right side
    193,533.40x = 52,796,705,006.94
  5. Step 5: Solve for x
    x = 52,796,705,006.94/193,533.40
  6. Step 6: Final answer
    x = 272,804.10

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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.