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Finding the Fourth Proportional to 118,041.96, 177,082.54 and 46,965.30

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Solution

The fourth proportional to 118,041.96, 177,082.54 and 46,965.30 is: 70,455.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,041.96 : 177,082.54 = 46,965.30 : x
  2. Step 2: Convert to fraction form
    118,041.96/177,082.54 = 46,965.30/x
  3. Step 3: Cross multiply
    118,041.96x = 177,082.54 × 46,965.30
  4. Step 4: Simplify right side
    118,041.96x = 8,316,734,615.86
  5. Step 5: Solve for x
    x = 8,316,734,615.86/118,041.96
  6. Step 6: Final answer
    x = 70,455.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.