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Finding the Fourth Proportional to 351,191.09, 526,870.47 and 114,534

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Solution

The fourth proportional to 351,191.09, 526,870.47 and 114,534 is: 171,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,191.09 : 526,870.47 = 114,534 : x
  2. Step 2: Convert to fraction form
    351,191.09/526,870.47 = 114,534/x
  3. Step 3: Cross multiply
    351,191.09x = 526,870.47 × 114,534
  4. Step 4: Simplify right side
    351,191.09x = 60,344,582,840.48
  5. Step 5: Solve for x
    x = 60,344,582,840.48/351,191.09
  6. Step 6: Final answer
    x = 171,828.34

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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.