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Finding the Fourth Proportional to 114,425.87, 157,913.08 and 71,430.82

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Solution

The fourth proportional to 114,425.87, 157,913.08 and 71,430.82 is: 98,577.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,425.87 : 157,913.08 = 71,430.82 : x
  2. Step 2: Convert to fraction form
    114,425.87/157,913.08 = 71,430.82/x
  3. Step 3: Cross multiply
    114,425.87x = 157,913.08 × 71,430.82
  4. Step 4: Simplify right side
    114,425.87x = 11,279,860,219.77
  5. Step 5: Solve for x
    x = 11,279,860,219.77/114,425.87
  6. Step 6: Final answer
    x = 98,577.89

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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.