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Finding the Fourth Proportional to 157,177.49, 216,904.97 and 85,557.51

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Solution

The fourth proportional to 157,177.49, 216,904.97 and 85,557.51 is: 118,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,177.49 : 216,904.97 = 85,557.51 : x
  2. Step 2: Convert to fraction form
    157,177.49/216,904.97 = 85,557.51/x
  3. Step 3: Cross multiply
    157,177.49x = 216,904.97 × 85,557.51
  4. Step 4: Simplify right side
    157,177.49x = 18,557,848,712.04
  5. Step 5: Solve for x
    x = 18,557,848,712.04/157,177.49
  6. Step 6: Final answer
    x = 118,069.38

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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.