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Finding the Fourth Proportional to 105,048.46, 144,967.80 and 57,302.02

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Solution

The fourth proportional to 105,048.46, 144,967.80 and 57,302.02 is: 79,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,048.46 : 144,967.80 = 57,302.02 : x
  2. Step 2: Convert to fraction form
    105,048.46/144,967.80 = 57,302.02/x
  3. Step 3: Cross multiply
    105,048.46x = 144,967.80 × 57,302.02
  4. Step 4: Simplify right side
    105,048.46x = 8,306,947,774.96
  5. Step 5: Solve for x
    x = 8,306,947,774.96/105,048.46
  6. Step 6: Final answer
    x = 79,077.29

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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.