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Finding the Fourth Proportional to 157,992.50, 237,029.80 and 47,184.50

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Solution

The fourth proportional to 157,992.50, 237,029.80 and 47,184.50 is: 70,789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,992.50 : 237,029.80 = 47,184.50 : x
  2. Step 2: Convert to fraction form
    157,992.50/237,029.80 = 47,184.50/x
  3. Step 3: Cross multiply
    157,992.50x = 237,029.80 × 47,184.50
  4. Step 4: Simplify right side
    157,992.50x = 11,184,132,598.10
  5. Step 5: Solve for x
    x = 11,184,132,598.10/157,992.50
  6. Step 6: Final answer
    x = 70,789.01

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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.