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Finding the Fourth Proportional to 152,794.56, 210,852.54 and 84,808.02

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Solution

The fourth proportional to 152,794.56, 210,852.54 and 84,808.02 is: 117,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,794.56 : 210,852.54 = 84,808.02 : x
  2. Step 2: Convert to fraction form
    152,794.56/210,852.54 = 84,808.02/x
  3. Step 3: Cross multiply
    152,794.56x = 210,852.54 × 84,808.02
  4. Step 4: Simplify right side
    152,794.56x = 17,881,986,429.37
  5. Step 5: Solve for x
    x = 17,881,986,429.37/152,794.56
  6. Step 6: Final answer
    x = 117,032.87

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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.