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Finding the Fourth Proportional to 152,525.32, 210,484.34 and 85,457.16

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Solution

The fourth proportional to 152,525.32, 210,484.34 and 85,457.16 is: 117,930.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,525.32 : 210,484.34 = 85,457.16 : x
  2. Step 2: Convert to fraction form
    152,525.32/210,484.34 = 85,457.16/x
  3. Step 3: Cross multiply
    152,525.32x = 210,484.34 × 85,457.16
  4. Step 4: Simplify right side
    152,525.32x = 17,987,393,920.87
  5. Step 5: Solve for x
    x = 17,987,393,920.87/152,525.32
  6. Step 6: Final answer
    x = 117,930.54

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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.