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Finding the Fourth Proportional to 122,502.36, 169,048.98 and 74,835.48

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Solution

The fourth proportional to 122,502.36, 169,048.98 and 74,835.48 is: 103,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,502.36 : 169,048.98 = 74,835.48 : x
  2. Step 2: Convert to fraction form
    122,502.36/169,048.98 = 74,835.48/x
  3. Step 3: Cross multiply
    122,502.36x = 169,048.98 × 74,835.48
  4. Step 4: Simplify right side
    122,502.36x = 12,650,861,561.81
  5. Step 5: Solve for x
    x = 12,650,861,561.81/122,502.36
  6. Step 6: Final answer
    x = 103,270.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.