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Finding the Fourth Proportional to 152,462.40, 210,400.32 and 85,394.88

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Solution

The fourth proportional to 152,462.40, 210,400.32 and 85,394.88 is: 117,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,462.40 : 210,400.32 = 85,394.88 : x
  2. Step 2: Convert to fraction form
    152,462.40/210,400.32 = 85,394.88/x
  3. Step 3: Cross multiply
    152,462.40x = 210,400.32 × 85,394.88
  4. Step 4: Simplify right side
    152,462.40x = 17,967,110,078.36
  5. Step 5: Solve for x
    x = 17,967,110,078.36/152,462.40
  6. Step 6: Final answer
    x = 117,846.17

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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.