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Finding the Fourth Proportional to 103,354.96, 142,594.14 and 58,026.64

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Solution

The fourth proportional to 103,354.96, 142,594.14 and 58,026.64 is: 80,056.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,354.96 : 142,594.14 = 58,026.64 : x
  2. Step 2: Convert to fraction form
    103,354.96/142,594.14 = 58,026.64/x
  3. Step 3: Cross multiply
    103,354.96x = 142,594.14 × 58,026.64
  4. Step 4: Simplify right side
    103,354.96x = 8,274,258,827.89
  5. Step 5: Solve for x
    x = 8,274,258,827.89/103,354.96
  6. Step 6: Final answer
    x = 80,056.72

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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.