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Finding the Fourth Proportional to 181,602.28, 272,403.42 and 56,953

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Solution

The fourth proportional to 181,602.28, 272,403.42 and 56,953 is: 85,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,602.28 : 272,403.42 = 56,953 : x
  2. Step 2: Convert to fraction form
    181,602.28/272,403.42 = 56,953/x
  3. Step 3: Cross multiply
    181,602.28x = 272,403.42 × 56,953
  4. Step 4: Simplify right side
    181,602.28x = 15,514,191,979.26
  5. Step 5: Solve for x
    x = 15,514,191,979.26/181,602.28
  6. Step 6: Final answer
    x = 85,429.50

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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.