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Finding the Fourth Proportional to 105,232.95, 145,219.64 and 57,485.07

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Solution

The fourth proportional to 105,232.95, 145,219.64 and 57,485.07 is: 79,328.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,232.95 : 145,219.64 = 57,485.07 : x
  2. Step 2: Convert to fraction form
    105,232.95/145,219.64 = 57,485.07/x
  3. Step 3: Cross multiply
    105,232.95x = 145,219.64 × 57,485.07
  4. Step 4: Simplify right side
    105,232.95x = 8,347,960,444.68
  5. Step 5: Solve for x
    x = 8,347,960,444.68/105,232.95
  6. Step 6: Final answer
    x = 79,328.39

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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.