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Finding the Fourth Proportional to 121,411.74, 181,842.57 and 65,153.82

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Solution

The fourth proportional to 121,411.74, 181,842.57 and 65,153.82 is: 97,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,411.74 : 181,842.57 = 65,153.82 : x
  2. Step 2: Convert to fraction form
    121,411.74/181,842.57 = 65,153.82/x
  3. Step 3: Cross multiply
    121,411.74x = 181,842.57 × 65,153.82
  4. Step 4: Simplify right side
    121,411.74x = 11,847,738,074.12
  5. Step 5: Solve for x
    x = 11,847,738,074.12/121,411.74
  6. Step 6: Final answer
    x = 97,583.13

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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.