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Finding the Fourth Proportional to 140,062.74, 210,106.94 and 55,802.49

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Solution

The fourth proportional to 140,062.74, 210,106.94 and 55,802.49 is: 83,708.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,062.74 : 210,106.94 = 55,802.49 : x
  2. Step 2: Convert to fraction form
    140,062.74/210,106.94 = 55,802.49/x
  3. Step 3: Cross multiply
    140,062.74x = 210,106.94 × 55,802.49
  4. Step 4: Simplify right side
    140,062.74x = 11,724,490,139.27
  5. Step 5: Solve for x
    x = 11,724,490,139.27/140,062.74
  6. Step 6: Final answer
    x = 83,708.84

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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.