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Finding the Fourth Proportional to 103,421.76, 142,725.75 and 58,098.77

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Solution

The fourth proportional to 103,421.76, 142,725.75 and 58,098.77 is: 80,178.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,421.76 : 142,725.75 = 58,098.77 : x
  2. Step 2: Convert to fraction form
    103,421.76/142,725.75 = 58,098.77/x
  3. Step 3: Cross multiply
    103,421.76x = 142,725.75 × 58,098.77
  4. Step 4: Simplify right side
    103,421.76x = 8,292,190,126.05
  5. Step 5: Solve for x
    x = 8,292,190,126.05/103,421.76
  6. Step 6: Final answer
    x = 80,178.39

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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.