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Finding the Fourth Proportional to 242,693.28, 334,928.13 and 135,264.06

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Solution

The fourth proportional to 242,693.28, 334,928.13 and 135,264.06 is: 186,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,693.28 : 334,928.13 = 135,264.06 : x
  2. Step 2: Convert to fraction form
    242,693.28/334,928.13 = 135,264.06/x
  3. Step 3: Cross multiply
    242,693.28x = 334,928.13 × 135,264.06
  4. Step 4: Simplify right side
    242,693.28x = 45,303,738,672.01
  5. Step 5: Solve for x
    x = 45,303,738,672.01/242,693.28
  6. Step 6: Final answer
    x = 186,670.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.