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Finding the Fourth Proportional to 293,142.71, 439,460.98 and 113,354.01

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Solution

The fourth proportional to 293,142.71, 439,460.98 and 113,354.01 is: 169,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,142.71 : 439,460.98 = 113,354.01 : x
  2. Step 2: Convert to fraction form
    293,142.71/439,460.98 = 113,354.01/x
  3. Step 3: Cross multiply
    293,142.71x = 439,460.98 × 113,354.01
  4. Step 4: Simplify right side
    293,142.71x = 49,814,664,038.14
  5. Step 5: Solve for x
    x = 49,814,664,038.14/293,142.71
  6. Step 6: Final answer
    x = 169,933.15

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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.