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Finding the Fourth Proportional to 105,096.10, 145,035.70 and 57,352.53

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Solution

The fourth proportional to 105,096.10, 145,035.70 and 57,352.53 is: 79,148.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,096.10 : 145,035.70 = 57,352.53 : x
  2. Step 2: Convert to fraction form
    105,096.10/145,035.70 = 57,352.53/x
  3. Step 3: Cross multiply
    105,096.10x = 145,035.70 × 57,352.53
  4. Step 4: Simplify right side
    105,096.10x = 8,318,163,323.38
  5. Step 5: Solve for x
    x = 8,318,163,323.38/105,096.10
  6. Step 6: Final answer
    x = 79,148.16

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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.