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Finding the Fourth Proportional to 243,133.48, 335,543.22 and 135,719.65

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Solution

The fourth proportional to 243,133.48, 335,543.22 and 135,719.65 is: 187,303.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,133.48 : 335,543.22 = 135,719.65 : x
  2. Step 2: Convert to fraction form
    243,133.48/335,543.22 = 135,719.65/x
  3. Step 3: Cross multiply
    243,133.48x = 335,543.22 × 135,719.65
  4. Step 4: Simplify right side
    243,133.48x = 45,539,808,378.27
  5. Step 5: Solve for x
    x = 45,539,808,378.27/243,133.48
  6. Step 6: Final answer
    x = 187,303.73

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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.