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Finding the Fourth Proportional to 210,330.88, 314,993.50 and 121,314.52

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Solution

The fourth proportional to 210,330.88, 314,993.50 and 121,314.52 is: 181,681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,330.88 : 314,993.50 = 121,314.52 : x
  2. Step 2: Convert to fraction form
    210,330.88/314,993.50 = 121,314.52/x
  3. Step 3: Cross multiply
    210,330.88x = 314,993.50 × 121,314.52
  4. Step 4: Simplify right side
    210,330.88x = 38,213,285,255.62
  5. Step 5: Solve for x
    x = 38,213,285,255.62/210,330.88
  6. Step 6: Final answer
    x = 181,681.76

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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.