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Finding the Fourth Proportional to 127,971.91, 191,875.84 and 53,143.70

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Solution

The fourth proportional to 127,971.91, 191,875.84 and 53,143.70 is: 79,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,971.91 : 191,875.84 = 53,143.70 : x
  2. Step 2: Convert to fraction form
    127,971.91/191,875.84 = 53,143.70/x
  3. Step 3: Cross multiply
    127,971.91x = 191,875.84 × 53,143.70
  4. Step 4: Simplify right side
    127,971.91x = 10,196,992,078.21
  5. Step 5: Solve for x
    x = 10,196,992,078.21/127,971.91
  6. Step 6: Final answer
    x = 79,681.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.