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Finding the Fourth Proportional to 186,904.61, 280,343.36 and 73,031.02

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Solution

The fourth proportional to 186,904.61, 280,343.36 and 73,031.02 is: 109,541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,904.61 : 280,343.36 = 73,031.02 : x
  2. Step 2: Convert to fraction form
    186,904.61/280,343.36 = 73,031.02/x
  3. Step 3: Cross multiply
    186,904.61x = 280,343.36 × 73,031.02
  4. Step 4: Simplify right side
    186,904.61x = 20,473,760,311.89
  5. Step 5: Solve for x
    x = 20,473,760,311.89/186,904.61
  6. Step 6: Final answer
    x = 109,541.23

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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.