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Finding the Fourth Proportional to 199,503.95, 275,339.52 and 145,762.07

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Solution

The fourth proportional to 199,503.95, 275,339.52 and 145,762.07 is: 201,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,503.95 : 275,339.52 = 145,762.07 : x
  2. Step 2: Convert to fraction form
    199,503.95/275,339.52 = 145,762.07/x
  3. Step 3: Cross multiply
    199,503.95x = 275,339.52 × 145,762.07
  4. Step 4: Simplify right side
    199,503.95x = 40,134,057,011.31
  5. Step 5: Solve for x
    x = 40,134,057,011.31/199,503.95
  6. Step 6: Final answer
    x = 201,169.24

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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.