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Finding the Fourth Proportional to 157,595.70, 217,483.62 and 85,975.94

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Solution

The fourth proportional to 157,595.70, 217,483.62 and 85,975.94 is: 118,647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,595.70 : 217,483.62 = 85,975.94 : x
  2. Step 2: Convert to fraction form
    157,595.70/217,483.62 = 85,975.94/x
  3. Step 3: Cross multiply
    157,595.70x = 217,483.62 × 85,975.94
  4. Step 4: Simplify right side
    157,595.70x = 18,698,358,664.10
  5. Step 5: Solve for x
    x = 18,698,358,664.10/157,595.70
  6. Step 6: Final answer
    x = 118,647.64

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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.