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Finding the Fourth Proportional to 181,953.40, 272,892.50 and 48,802

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Solution

The fourth proportional to 181,953.40, 272,892.50 and 48,802 is: 73,192.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,953.40 : 272,892.50 = 48,802 : x
  2. Step 2: Convert to fraction form
    181,953.40/272,892.50 = 48,802/x
  3. Step 3: Cross multiply
    181,953.40x = 272,892.50 × 48,802
  4. Step 4: Simplify right side
    181,953.40x = 13,317,699,785
  5. Step 5: Solve for x
    x = 13,317,699,785/181,953.40
  6. Step 6: Final answer
    x = 73,192.92

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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.