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Finding the Fourth Proportional to 117,514.90, 176,207.55 and 47,314.90

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Solution

The fourth proportional to 117,514.90, 176,207.55 and 47,314.90 is: 70,946.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,514.90 : 176,207.55 = 47,314.90 : x
  2. Step 2: Convert to fraction form
    117,514.90/176,207.55 = 47,314.90/x
  3. Step 3: Cross multiply
    117,514.90x = 176,207.55 × 47,314.90
  4. Step 4: Simplify right side
    117,514.90x = 8,337,242,607.50
  5. Step 5: Solve for x
    x = 8,337,242,607.50/117,514.90
  6. Step 6: Final answer
    x = 70,946.26

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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.