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Finding the Fourth Proportional to 105,285.46, 145,293.61 and 57,538.81

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Solution

The fourth proportional to 105,285.46, 145,293.61 and 57,538.81 is: 79,403.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,285.46 : 145,293.61 = 57,538.81 : x
  2. Step 2: Convert to fraction form
    105,285.46/145,293.61 = 57,538.81/x
  3. Step 3: Cross multiply
    105,285.46x = 145,293.61 × 57,538.81
  4. Step 4: Simplify right side
    105,285.46x = 8,360,020,829.30
  5. Step 5: Solve for x
    x = 8,360,020,829.30/105,285.46
  6. Step 6: Final answer
    x = 79,403.38

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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.