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Finding the Fourth Proportional to 315,416.84, 473,131.91 and 113,026.14

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Solution

The fourth proportional to 315,416.84, 473,131.91 and 113,026.14 is: 169,541.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,416.84 : 473,131.91 = 113,026.14 : x
  2. Step 2: Convert to fraction form
    315,416.84/473,131.91 = 113,026.14/x
  3. Step 3: Cross multiply
    315,416.84x = 473,131.91 × 113,026.14
  4. Step 4: Simplify right side
    315,416.84x = 53,476,273,780.69
  5. Step 5: Solve for x
    x = 53,476,273,780.69/315,416.84
  6. Step 6: Final answer
    x = 169,541.59

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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.