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Finding the Fourth Proportional to 190,914, 286,315.92 and 57,762.96

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Solution

The fourth proportional to 190,914, 286,315.92 and 57,762.96 is: 86,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,914 : 286,315.92 = 57,762.96 : x
  2. Step 2: Convert to fraction form
    190,914/286,315.92 = 57,762.96/x
  3. Step 3: Cross multiply
    190,914x = 286,315.92 × 57,762.96
  4. Step 4: Simplify right side
    190,914x = 16,538,455,034.32
  5. Step 5: Solve for x
    x = 16,538,455,034.32/190,914
  6. Step 6: Final answer
    x = 86,627.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.