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Finding the Fourth Proportional to 152,846.16, 210,904.20 and 85,765.20

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Solution

The fourth proportional to 152,846.16, 210,904.20 and 85,765.20 is: 118,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,846.16 : 210,904.20 = 85,765.20 : x
  2. Step 2: Convert to fraction form
    152,846.16/210,904.20 = 85,765.20/x
  3. Step 3: Cross multiply
    152,846.16x = 210,904.20 × 85,765.20
  4. Step 4: Simplify right side
    152,846.16x = 18,088,240,893.84
  5. Step 5: Solve for x
    x = 18,088,240,893.84/152,846.16
  6. Step 6: Final answer
    x = 118,342.79

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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.