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Finding the Fourth Proportional to 105,047.71, 144,966.77 and 57,301.27

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Solution

The fourth proportional to 105,047.71, 144,966.77 and 57,301.27 is: 79,076.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,047.71 : 144,966.77 = 57,301.27 : x
  2. Step 2: Convert to fraction form
    105,047.71/144,966.77 = 57,301.27/x
  3. Step 3: Cross multiply
    105,047.71x = 144,966.77 × 57,301.27
  4. Step 4: Simplify right side
    105,047.71x = 8,306,779,742.29
  5. Step 5: Solve for x
    x = 8,306,779,742.29/105,047.71
  6. Step 6: Final answer
    x = 79,076.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.