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Finding the Fourth Proportional to 105,153.57, 145,114.02 and 57,407.10

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Solution

The fourth proportional to 105,153.57, 145,114.02 and 57,407.10 is: 79,222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,153.57 : 145,114.02 = 57,407.10 : x
  2. Step 2: Convert to fraction form
    105,153.57/145,114.02 = 57,407.10/x
  3. Step 3: Cross multiply
    105,153.57x = 145,114.02 × 57,407.10
  4. Step 4: Simplify right side
    105,153.57x = 8,330,575,057.54
  5. Step 5: Solve for x
    x = 8,330,575,057.54/105,153.57
  6. Step 6: Final answer
    x = 79,222.94

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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.