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Finding the Fourth Proportional to 190,703.32, 286,069.02 and 50,461

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Solution

The fourth proportional to 190,703.32, 286,069.02 and 50,461 is: 75,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,703.32 : 286,069.02 = 50,461 : x
  2. Step 2: Convert to fraction form
    190,703.32/286,069.02 = 50,461/x
  3. Step 3: Cross multiply
    190,703.32x = 286,069.02 × 50,461
  4. Step 4: Simplify right side
    190,703.32x = 14,435,328,818.22
  5. Step 5: Solve for x
    x = 14,435,328,818.22/190,703.32
  6. Step 6: Final answer
    x = 75,695.22

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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.