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Finding the Fourth Proportional to 114,264.54, 157,666.32 and 71,793

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Solution

The fourth proportional to 114,264.54, 157,666.32 and 71,793 is: 99,062.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,264.54 : 157,666.32 = 71,793 : x
  2. Step 2: Convert to fraction form
    114,264.54/157,666.32 = 71,793/x
  3. Step 3: Cross multiply
    114,264.54x = 157,666.32 × 71,793
  4. Step 4: Simplify right side
    114,264.54x = 11,319,338,111.76
  5. Step 5: Solve for x
    x = 11,319,338,111.76/114,264.54
  6. Step 6: Final answer
    x = 99,062.56

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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.