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Finding the Fourth Proportional to 157,137.86, 215,436.28 and 154,294.76

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Solution

The fourth proportional to 157,137.86, 215,436.28 and 154,294.76 is: 211,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,137.86 : 215,436.28 = 154,294.76 : x
  2. Step 2: Convert to fraction form
    157,137.86/215,436.28 = 154,294.76/x
  3. Step 3: Cross multiply
    157,137.86x = 215,436.28 × 154,294.76
  4. Step 4: Simplify right side
    157,137.86x = 33,240,689,117.89
  5. Step 5: Solve for x
    x = 33,240,689,117.89/157,137.86
  6. Step 6: Final answer
    x = 211,538.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.