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Finding the Fourth Proportional to 114,348.31, 157,877.69 and 71,393.20

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Solution

The fourth proportional to 114,348.31, 157,877.69 and 71,393.20 is: 98,570.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,348.31 : 157,877.69 = 71,393.20 : x
  2. Step 2: Convert to fraction form
    114,348.31/157,877.69 = 71,393.20/x
  3. Step 3: Cross multiply
    114,348.31x = 157,877.69 × 71,393.20
  4. Step 4: Simplify right side
    114,348.31x = 11,271,392,746.05
  5. Step 5: Solve for x
    x = 11,271,392,746.05/114,348.31
  6. Step 6: Final answer
    x = 98,570.70

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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.