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Finding the Fourth Proportional to 105,507.76, 145,602.54 and 57,760.36

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Solution

The fourth proportional to 105,507.76, 145,602.54 and 57,760.36 is: 79,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,507.76 : 145,602.54 = 57,760.36 : x
  2. Step 2: Convert to fraction form
    105,507.76/145,602.54 = 57,760.36/x
  3. Step 3: Cross multiply
    105,507.76x = 145,602.54 × 57,760.36
  4. Step 4: Simplify right side
    105,507.76x = 8,410,055,127.31
  5. Step 5: Solve for x
    x = 8,410,055,127.31/105,507.76
  6. Step 6: Final answer
    x = 79,710.30

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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.