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Finding the Fourth Proportional to 107,053.78, 147,674.70 and 84,308.98

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Solution

The fourth proportional to 107,053.78, 147,674.70 and 84,308.98 is: 116,299.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,053.78 : 147,674.70 = 84,308.98 : x
  2. Step 2: Convert to fraction form
    107,053.78/147,674.70 = 84,308.98/x
  3. Step 3: Cross multiply
    107,053.78x = 147,674.70 × 84,308.98
  4. Step 4: Simplify right side
    107,053.78x = 12,450,303,328.81
  5. Step 5: Solve for x
    x = 12,450,303,328.81/107,053.78
  6. Step 6: Final answer
    x = 116,299.52

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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.