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Finding the Fourth Proportional to 190,471.68, 284,866.56 and 115,384.32

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Solution

The fourth proportional to 190,471.68, 284,866.56 and 115,384.32 is: 172,567.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,471.68 : 284,866.56 = 115,384.32 : x
  2. Step 2: Convert to fraction form
    190,471.68/284,866.56 = 115,384.32/x
  3. Step 3: Cross multiply
    190,471.68x = 284,866.56 × 115,384.32
  4. Step 4: Simplify right side
    190,471.68x = 32,869,134,316.34
  5. Step 5: Solve for x
    x = 32,869,134,316.34/190,471.68
  6. Step 6: Final answer
    x = 172,567.04

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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.