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Finding the Fourth Proportional to 358,509.19, 538,096.29 and 181,140.76

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Solution

The fourth proportional to 358,509.19, 538,096.29 and 181,140.76 is: 271,879.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,509.19 : 538,096.29 = 181,140.76 : x
  2. Step 2: Convert to fraction form
    358,509.19/538,096.29 = 181,140.76/x
  3. Step 3: Cross multiply
    358,509.19x = 538,096.29 × 181,140.76
  4. Step 4: Simplify right side
    358,509.19x = 97,471,170,923.78
  5. Step 5: Solve for x
    x = 97,471,170,923.78/358,509.19
  6. Step 6: Final answer
    x = 271,879.14

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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.