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Finding the Fourth Proportional to 105,073.98, 145,002.57 and 57,328.38

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Solution

The fourth proportional to 105,073.98, 145,002.57 and 57,328.38 is: 79,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,073.98 : 145,002.57 = 57,328.38 : x
  2. Step 2: Convert to fraction form
    105,073.98/145,002.57 = 57,328.38/x
  3. Step 3: Cross multiply
    105,073.98x = 145,002.57 × 57,328.38
  4. Step 4: Simplify right side
    105,073.98x = 8,312,762,433.94
  5. Step 5: Solve for x
    x = 8,312,762,433.94/105,073.98
  6. Step 6: Final answer
    x = 79,113.42

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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.