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Finding the Fourth Proportional to 114,349.82, 157,879.76 and 71,394.71

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Solution

The fourth proportional to 114,349.82, 157,879.76 and 71,394.71 is: 98,572.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,349.82 : 157,879.76 = 71,394.71 : x
  2. Step 2: Convert to fraction form
    114,349.82/157,879.76 = 71,394.71/x
  3. Step 3: Cross multiply
    114,349.82x = 157,879.76 × 71,394.71
  4. Step 4: Simplify right side
    114,349.82x = 11,271,778,533.70
  5. Step 5: Solve for x
    x = 11,271,778,533.70/114,349.82
  6. Step 6: Final answer
    x = 98,572.77

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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.