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Finding the Fourth Proportional to 145,514.34, 218,307.15 and 50,731.38

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Solution

The fourth proportional to 145,514.34, 218,307.15 and 50,731.38 is: 76,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,514.34 : 218,307.15 = 50,731.38 : x
  2. Step 2: Convert to fraction form
    145,514.34/218,307.15 = 50,731.38/x
  3. Step 3: Cross multiply
    145,514.34x = 218,307.15 × 50,731.38
  4. Step 4: Simplify right side
    145,514.34x = 11,075,022,983.37
  5. Step 5: Solve for x
    x = 11,075,022,983.37/145,514.34
  6. Step 6: Final answer
    x = 76,109.50

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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.