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Finding the Fourth Proportional to 157,514.16, 217,364.76 and 85,895.64

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Solution

The fourth proportional to 157,514.16, 217,364.76 and 85,895.64 is: 118,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,514.16 : 217,364.76 = 85,895.64 : x
  2. Step 2: Convert to fraction form
    157,514.16/217,364.76 = 85,895.64/x
  3. Step 3: Cross multiply
    157,514.16x = 217,364.76 × 85,895.64
  4. Step 4: Simplify right side
    157,514.16x = 18,670,685,173.65
  5. Step 5: Solve for x
    x = 18,670,685,173.65/157,514.16
  6. Step 6: Final answer
    x = 118,533.38

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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.