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Finding the Fourth Proportional to 152,407.44, 210,322.08 and 84,424.41

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Solution

The fourth proportional to 152,407.44, 210,322.08 and 84,424.41 is: 116,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,407.44 : 210,322.08 = 84,424.41 : x
  2. Step 2: Convert to fraction form
    152,407.44/210,322.08 = 84,424.41/x
  3. Step 3: Cross multiply
    152,407.44x = 210,322.08 × 84,424.41
  4. Step 4: Simplify right side
    152,407.44x = 17,756,317,513.97
  5. Step 5: Solve for x
    x = 17,756,317,513.97/152,407.44
  6. Step 6: Final answer
    x = 116,505.58

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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.