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Finding the Fourth Proportional to 201,932.52, 278,503.29 and 177,681.12

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Solution

The fourth proportional to 201,932.52, 278,503.29 and 177,681.12 is: 245,056.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,932.52 : 278,503.29 = 177,681.12 : x
  2. Step 2: Convert to fraction form
    201,932.52/278,503.29 = 177,681.12/x
  3. Step 3: Cross multiply
    201,932.52x = 278,503.29 × 177,681.12
  4. Step 4: Simplify right side
    201,932.52x = 49,484,776,490.88
  5. Step 5: Solve for x
    x = 49,484,776,490.88/201,932.52
  6. Step 6: Final answer
    x = 245,056.00

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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.