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Finding the Fourth Proportional to 104,352, 144,005.76 and 59,640.96

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Solution

The fourth proportional to 104,352, 144,005.76 and 59,640.96 is: 82,304.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,352 : 144,005.76 = 59,640.96 : x
  2. Step 2: Convert to fraction form
    104,352/144,005.76 = 59,640.96/x
  3. Step 3: Cross multiply
    104,352x = 144,005.76 × 59,640.96
  4. Step 4: Simplify right side
    104,352x = 8,588,641,771.93
  5. Step 5: Solve for x
    x = 8,588,641,771.93/104,352
  6. Step 6: Final answer
    x = 82,304.52

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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.