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Finding the Fourth Proportional to 152,405.35, 210,317.14 and 84,422.12

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Solution

The fourth proportional to 152,405.35, 210,317.14 and 84,422.12 is: 116,501.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,405.35 : 210,317.14 = 84,422.12 : x
  2. Step 2: Convert to fraction form
    152,405.35/210,317.14 = 84,422.12/x
  3. Step 3: Cross multiply
    152,405.35x = 210,317.14 × 84,422.12
  4. Step 4: Simplify right side
    152,405.35x = 17,755,417,885.08
  5. Step 5: Solve for x
    x = 17,755,417,885.08/152,405.35
  6. Step 6: Final answer
    x = 116,501.28

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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.