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Finding the Fourth Proportional to 117,419.20, 176,019.20 and 46,342.40

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Solution

The fourth proportional to 117,419.20, 176,019.20 and 46,342.40 is: 69,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,419.20 : 176,019.20 = 46,342.40 : x
  2. Step 2: Convert to fraction form
    117,419.20/176,019.20 = 46,342.40/x
  3. Step 3: Cross multiply
    117,419.20x = 176,019.20 × 46,342.40
  4. Step 4: Simplify right side
    117,419.20x = 8,157,152,174.08
  5. Step 5: Solve for x
    x = 8,157,152,174.08/117,419.20
  6. Step 6: Final answer
    x = 69,470.34

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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.