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Finding the Fourth Proportional to 105,030.56, 144,938.76 and 57,284.84

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Solution

The fourth proportional to 105,030.56, 144,938.76 and 57,284.84 is: 79,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,030.56 : 144,938.76 = 57,284.84 : x
  2. Step 2: Convert to fraction form
    105,030.56/144,938.76 = 57,284.84/x
  3. Step 3: Cross multiply
    105,030.56x = 144,938.76 × 57,284.84
  4. Step 4: Simplify right side
    105,030.56x = 8,302,793,676.40
  5. Step 5: Solve for x
    x = 8,302,793,676.40/105,030.56
  6. Step 6: Final answer
    x = 79,051.22

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