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Finding the Fourth Proportional to 152,405.68, 210,315.08 and 84,419.92

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Solution

The fourth proportional to 152,405.68, 210,315.08 and 84,419.92 is: 116,496.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,405.68 : 210,315.08 = 84,419.92 : x
  2. Step 2: Convert to fraction form
    152,405.68/210,315.08 = 84,419.92/x
  3. Step 3: Cross multiply
    152,405.68x = 210,315.08 × 84,419.92
  4. Step 4: Simplify right side
    152,405.68x = 17,754,782,228.39
  5. Step 5: Solve for x
    x = 17,754,782,228.39/152,405.68
  6. Step 6: Final answer
    x = 116,496.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.