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Finding the Fourth Proportional to 181,653.12, 272,410.56 and 83,088

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Solution

The fourth proportional to 181,653.12, 272,410.56 and 83,088 is: 124,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,653.12 : 272,410.56 = 83,088 : x
  2. Step 2: Convert to fraction form
    181,653.12/272,410.56 = 83,088/x
  3. Step 3: Cross multiply
    181,653.12x = 272,410.56 × 83,088
  4. Step 4: Simplify right side
    181,653.12x = 22,634,048,609.28
  5. Step 5: Solve for x
    x = 22,634,048,609.28/181,653.12
  6. Step 6: Final answer
    x = 124,600.38

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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.