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Finding the Fourth Proportional to 157,115.34, 235,709.91 and 51,934.32

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Solution

The fourth proportional to 157,115.34, 235,709.91 and 51,934.32 is: 77,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,115.34 : 235,709.91 = 51,934.32 : x
  2. Step 2: Convert to fraction form
    157,115.34/235,709.91 = 51,934.32/x
  3. Step 3: Cross multiply
    157,115.34x = 235,709.91 × 51,934.32
  4. Step 4: Simplify right side
    157,115.34x = 12,241,433,893.11
  5. Step 5: Solve for x
    x = 12,241,433,893.11/157,115.34
  6. Step 6: Final answer
    x = 77,913.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.