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Finding the Fourth Proportional to 105,754.47, 145,938.54 and 60,429.57

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Solution

The fourth proportional to 105,754.47, 145,938.54 and 60,429.57 is: 83,391.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,754.47 : 145,938.54 = 60,429.57 : x
  2. Step 2: Convert to fraction form
    105,754.47/145,938.54 = 60,429.57/x
  3. Step 3: Cross multiply
    105,754.47x = 145,938.54 × 60,429.57
  4. Step 4: Simplify right side
    105,754.47x = 8,819,003,218.63
  5. Step 5: Solve for x
    x = 8,819,003,218.63/105,754.47
  6. Step 6: Final answer
    x = 83,391.30

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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.