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Finding the Fourth Proportional to 114,188.10, 171,287.01 and 35,303.82

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Solution

The fourth proportional to 114,188.10, 171,287.01 and 35,303.82 is: 52,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,188.10 : 171,287.01 = 35,303.82 : x
  2. Step 2: Convert to fraction form
    114,188.10/171,287.01 = 35,303.82/x
  3. Step 3: Cross multiply
    114,188.10x = 171,287.01 × 35,303.82
  4. Step 4: Simplify right side
    114,188.10x = 6,047,085,769.38
  5. Step 5: Solve for x
    x = 6,047,085,769.38/114,188.10
  6. Step 6: Final answer
    x = 52,957.23

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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.