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Finding the Fourth Proportional to 190,140, 262,462.32 and 110,652

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Solution

The fourth proportional to 190,140, 262,462.32 and 110,652 is: 152,739.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,140 : 262,462.32 = 110,652 : x
  2. Step 2: Convert to fraction form
    190,140/262,462.32 = 110,652/x
  3. Step 3: Cross multiply
    190,140x = 262,462.32 × 110,652
  4. Step 4: Simplify right side
    190,140x = 29,041,980,632.64
  5. Step 5: Solve for x
    x = 29,041,980,632.64/190,140
  6. Step 6: Final answer
    x = 152,739.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.