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Finding the Fourth Proportional to 152,858.76, 210,933.06 and 84,869.34

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Solution

The fourth proportional to 152,858.76, 210,933.06 and 84,869.34 is: 117,113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,858.76 : 210,933.06 = 84,869.34 : x
  2. Step 2: Convert to fraction form
    152,858.76/210,933.06 = 84,869.34/x
  3. Step 3: Cross multiply
    152,858.76x = 210,933.06 × 84,869.34
  4. Step 4: Simplify right side
    152,858.76x = 17,901,749,586.38
  5. Step 5: Solve for x
    x = 17,901,749,586.38/152,858.76
  6. Step 6: Final answer
    x = 117,113.01

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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.