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Finding the Fourth Proportional to 310,111, 465,170.82 and 88,495

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Solution

The fourth proportional to 310,111, 465,170.82 and 88,495 is: 132,743.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,111 : 465,170.82 = 88,495 : x
  2. Step 2: Convert to fraction form
    310,111/465,170.82 = 88,495/x
  3. Step 3: Cross multiply
    310,111x = 465,170.82 × 88,495
  4. Step 4: Simplify right side
    310,111x = 41,165,291,715.90
  5. Step 5: Solve for x
    x = 41,165,291,715.90/310,111
  6. Step 6: Final answer
    x = 132,743.73

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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.