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Finding the Fourth Proportional to 145,615.14, 218,475.24 and 50,859.24

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Solution

The fourth proportional to 145,615.14, 218,475.24 and 50,859.24 is: 76,307.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,615.14 : 218,475.24 = 50,859.24 : x
  2. Step 2: Convert to fraction form
    145,615.14/218,475.24 = 50,859.24/x
  3. Step 3: Cross multiply
    145,615.14x = 218,475.24 × 50,859.24
  4. Step 4: Simplify right side
    145,615.14x = 11,111,484,665.22
  5. Step 5: Solve for x
    x = 11,111,484,665.22/145,615.14
  6. Step 6: Final answer
    x = 76,307.21

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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.