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Finding the Fourth Proportional to 105,277.84, 145,285.32 and 57,533.20

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Solution

The fourth proportional to 105,277.84, 145,285.32 and 57,533.20 is: 79,396.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,277.84 : 145,285.32 = 57,533.20 : x
  2. Step 2: Convert to fraction form
    105,277.84/145,285.32 = 57,533.20/x
  3. Step 3: Cross multiply
    105,277.84x = 145,285.32 × 57,533.20
  4. Step 4: Simplify right side
    105,277.84x = 8,358,729,372.62
  5. Step 5: Solve for x
    x = 8,358,729,372.62/105,277.84
  6. Step 6: Final answer
    x = 79,396.85

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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.