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Finding the Fourth Proportional to 194,465.25, 291,697.88 and 46,721.25

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Solution

The fourth proportional to 194,465.25, 291,697.88 and 46,721.25 is: 70,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,465.25 : 291,697.88 = 46,721.25 : x
  2. Step 2: Convert to fraction form
    194,465.25/291,697.88 = 46,721.25/x
  3. Step 3: Cross multiply
    194,465.25x = 291,697.88 × 46,721.25
  4. Step 4: Simplify right side
    194,465.25x = 13,628,489,342.34
  5. Step 5: Solve for x
    x = 13,628,489,342.34/194,465.25
  6. Step 6: Final answer
    x = 70,081.88

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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.