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Finding the Fourth Proportional to 152,503.21, 210,454.41 and 85,435.21

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Solution

The fourth proportional to 152,503.21, 210,454.41 and 85,435.21 is: 117,900.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,503.21 : 210,454.41 = 85,435.21 : x
  2. Step 2: Convert to fraction form
    152,503.21/210,454.41 = 85,435.21/x
  3. Step 3: Cross multiply
    152,503.21x = 210,454.41 × 85,435.21
  4. Step 4: Simplify right side
    152,503.21x = 17,980,216,713.78
  5. Step 5: Solve for x
    x = 17,980,216,713.78/152,503.21
  6. Step 6: Final answer
    x = 117,900.58

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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.