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Finding the Fourth Proportional to 190,462.54, 285,712.95 and 70,551.76

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Solution

The fourth proportional to 190,462.54, 285,712.95 and 70,551.76 is: 105,834.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,462.54 : 285,712.95 = 70,551.76 : x
  2. Step 2: Convert to fraction form
    190,462.54/285,712.95 = 70,551.76/x
  3. Step 3: Cross multiply
    190,462.54x = 285,712.95 × 70,551.76
  4. Step 4: Simplify right side
    190,462.54x = 20,157,551,477.29
  5. Step 5: Solve for x
    x = 20,157,551,477.29/190,462.54
  6. Step 6: Final answer
    x = 105,834.73

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Why These Related Problems?

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