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Finding the Fourth Proportional to 116,210, 174,315 and 28,658

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Solution

The fourth proportional to 116,210, 174,315 and 28,658 is: 42,987

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,210 : 174,315 = 28,658 : x
  2. Step 2: Convert to fraction form
    116,210/174,315 = 28,658/x
  3. Step 3: Cross multiply
    116,210x = 174,315 × 28,658
  4. Step 4: Simplify right side
    116,210x = 4,995,519,270
  5. Step 5: Solve for x
    x = 4,995,519,270/116,210
  6. Step 6: Final answer
    x = 42,987

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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.