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Finding the Fourth Proportional to 152,806.95, 211,086.24 and 145,333.62

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Solution

The fourth proportional to 152,806.95, 211,086.24 and 145,333.62 is: 200,762.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,806.95 : 211,086.24 = 145,333.62 : x
  2. Step 2: Convert to fraction form
    152,806.95/211,086.24 = 145,333.62/x
  3. Step 3: Cross multiply
    152,806.95x = 211,086.24 × 145,333.62
  4. Step 4: Simplify right side
    152,806.95x = 30,677,927,391.39
  5. Step 5: Solve for x
    x = 30,677,927,391.39/152,806.95
  6. Step 6: Final answer
    x = 200,762.64

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