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Finding the Fourth Proportional to 151,987.80, 227,960.10 and 46,817.40

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Solution

The fourth proportional to 151,987.80, 227,960.10 and 46,817.40 is: 70,219.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,987.80 : 227,960.10 = 46,817.40 : x
  2. Step 2: Convert to fraction form
    151,987.80/227,960.10 = 46,817.40/x
  3. Step 3: Cross multiply
    151,987.80x = 227,960.10 × 46,817.40
  4. Step 4: Simplify right side
    151,987.80x = 10,672,499,185.74
  5. Step 5: Solve for x
    x = 10,672,499,185.74/151,987.80
  6. Step 6: Final answer
    x = 70,219.45

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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.