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Finding the Fourth Proportional to 117,009.40, 175,514.10 and 83,657.65

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Solution

The fourth proportional to 117,009.40, 175,514.10 and 83,657.65 is: 125,486.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,009.40 : 175,514.10 = 83,657.65 : x
  2. Step 2: Convert to fraction form
    117,009.40/175,514.10 = 83,657.65/x
  3. Step 3: Cross multiply
    117,009.40x = 175,514.10 × 83,657.65
  4. Step 4: Simplify right side
    117,009.40x = 14,683,097,147.87
  5. Step 5: Solve for x
    x = 14,683,097,147.87/117,009.40
  6. Step 6: Final answer
    x = 125,486.48

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1.5x scale

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.