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Finding the Fourth Proportional to 105,138.07, 145,085.04 and 57,382.16

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Solution

The fourth proportional to 105,138.07, 145,085.04 and 57,382.16 is: 79,184.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,138.07 : 145,085.04 = 57,382.16 : x
  2. Step 2: Convert to fraction form
    105,138.07/145,085.04 = 57,382.16/x
  3. Step 3: Cross multiply
    105,138.07x = 145,085.04 × 57,382.16
  4. Step 4: Simplify right side
    105,138.07x = 8,325,292,253.46
  5. Step 5: Solve for x
    x = 8,325,292,253.46/105,138.07
  6. Step 6: Final answer
    x = 79,184.38

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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.