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Finding the Fourth Proportional to 145,954.66, 218,941.24 and 61,699.12

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Solution

The fourth proportional to 145,954.66, 218,941.24 and 61,699.12 is: 92,552.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,954.66 : 218,941.24 = 61,699.12 : x
  2. Step 2: Convert to fraction form
    145,954.66/218,941.24 = 61,699.12/x
  3. Step 3: Cross multiply
    145,954.66x = 218,941.24 × 61,699.12
  4. Step 4: Simplify right side
    145,954.66x = 13,508,481,839.71
  5. Step 5: Solve for x
    x = 13,508,481,839.71/145,954.66
  6. Step 6: Final answer
    x = 92,552.59

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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.