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Finding the Fourth Proportional to 124,376.24, 186,619.32 and 65,197.76

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Solution

The fourth proportional to 124,376.24, 186,619.32 and 65,197.76 is: 97,825.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,376.24 : 186,619.32 = 65,197.76 : x
  2. Step 2: Convert to fraction form
    124,376.24/186,619.32 = 65,197.76/x
  3. Step 3: Cross multiply
    124,376.24x = 186,619.32 × 65,197.76
  4. Step 4: Simplify right side
    124,376.24x = 12,167,161,636.72
  5. Step 5: Solve for x
    x = 12,167,161,636.72/124,376.24
  6. Step 6: Final answer
    x = 97,825.45

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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.