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Finding the Fourth Proportional to 190,641.18, 285,762.24 and 64,237.76

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Solution

The fourth proportional to 190,641.18, 285,762.24 and 64,237.76 is: 96,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,641.18 : 285,762.24 = 64,237.76 : x
  2. Step 2: Convert to fraction form
    190,641.18/285,762.24 = 64,237.76/x
  3. Step 3: Cross multiply
    190,641.18x = 285,762.24 × 64,237.76
  4. Step 4: Simplify right side
    190,641.18x = 18,356,724,761.37
  5. Step 5: Solve for x
    x = 18,356,724,761.37/190,641.18
  6. Step 6: Final answer
    x = 96,289.40

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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.