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Finding the Fourth Proportional to 114,300.47, 157,716.28 and 71,828.93

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Solution

The fourth proportional to 114,300.47, 157,716.28 and 71,828.93 is: 99,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,300.47 : 157,716.28 = 71,828.93 : x
  2. Step 2: Convert to fraction form
    114,300.47/157,716.28 = 71,828.93/x
  3. Step 3: Cross multiply
    114,300.47x = 157,716.28 × 71,828.93
  4. Step 4: Simplify right side
    114,300.47x = 11,328,592,120.06
  5. Step 5: Solve for x
    x = 11,328,592,120.06/114,300.47
  6. Step 6: Final answer
    x = 99,112.38

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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.