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Finding the Fourth Proportional to 175,085.30, 262,627.95 and 133,094.90

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Solution

The fourth proportional to 175,085.30, 262,627.95 and 133,094.90 is: 199,642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,085.30 : 262,627.95 = 133,094.90 : x
  2. Step 2: Convert to fraction form
    175,085.30/262,627.95 = 133,094.90/x
  3. Step 3: Cross multiply
    175,085.30x = 262,627.95 × 133,094.90
  4. Step 4: Simplify right side
    175,085.30x = 34,954,440,742.46
  5. Step 5: Solve for x
    x = 34,954,440,742.46/175,085.30
  6. Step 6: Final answer
    x = 199,642.35

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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.