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Finding the Fourth Proportional to 78,157, 107,856.03 and 42,346.90

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Solution

The fourth proportional to 78,157, 107,856.03 and 42,346.90 is: 58,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,157 : 107,856.03 = 42,346.90 : x
  2. Step 2: Convert to fraction form
    78,157/107,856.03 = 42,346.90/x
  3. Step 3: Cross multiply
    78,157x = 107,856.03 × 42,346.90
  4. Step 4: Simplify right side
    78,157x = 4,567,368,516.81
  5. Step 5: Solve for x
    x = 4,567,368,516.81/78,157
  6. Step 6: Final answer
    x = 58,438.38

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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.