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Finding the Fourth Proportional to 283,229.02, 390,656.95 and 186,402.02

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Solution

The fourth proportional to 283,229.02, 390,656.95 and 186,402.02 is: 257,103.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,229.02 : 390,656.95 = 186,402.02 : x
  2. Step 2: Convert to fraction form
    283,229.02/390,656.95 = 186,402.02/x
  3. Step 3: Cross multiply
    283,229.02x = 390,656.95 × 186,402.02
  4. Step 4: Simplify right side
    283,229.02x = 72,819,244,607.04
  5. Step 5: Solve for x
    x = 72,819,244,607.04/283,229.02
  6. Step 6: Final answer
    x = 257,103.76

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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.