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Finding the Fourth Proportional to 181,283.76, 271,931.00 and 86,523.93

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Solution

The fourth proportional to 181,283.76, 271,931.00 and 86,523.93 is: 129,788.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,283.76 : 271,931.00 = 86,523.93 : x
  2. Step 2: Convert to fraction form
    181,283.76/271,931.00 = 86,523.93/x
  3. Step 3: Cross multiply
    181,283.76x = 271,931.00 × 86,523.93
  4. Step 4: Simplify right side
    181,283.76x = 23,528,538,376.21
  5. Step 5: Solve for x
    x = 23,528,538,376.21/181,283.76
  6. Step 6: Final answer
    x = 129,788.45

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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.