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Finding the Fourth Proportional to 114,267.54, 157,670.46 and 71,796

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Solution

The fourth proportional to 114,267.54, 157,670.46 and 71,796 is: 99,066.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,267.54 : 157,670.46 = 71,796 : x
  2. Step 2: Convert to fraction form
    114,267.54/157,670.46 = 71,796/x
  3. Step 3: Cross multiply
    114,267.54x = 157,670.46 × 71,796
  4. Step 4: Simplify right side
    114,267.54x = 11,320,108,346.16
  5. Step 5: Solve for x
    x = 11,320,108,346.16/114,267.54
  6. Step 6: Final answer
    x = 99,066.70

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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.