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Finding the Fourth Proportional to 114,201.70, 171,302.55 and 31,095.70

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Solution

The fourth proportional to 114,201.70, 171,302.55 and 31,095.70 is: 46,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,201.70 : 171,302.55 = 31,095.70 : x
  2. Step 2: Convert to fraction form
    114,201.70/171,302.55 = 31,095.70/x
  3. Step 3: Cross multiply
    114,201.70x = 171,302.55 × 31,095.70
  4. Step 4: Simplify right side
    114,201.70x = 5,326,772,704.04
  5. Step 5: Solve for x
    x = 5,326,772,704.04/114,201.70
  6. Step 6: Final answer
    x = 46,643.55

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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.