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Finding the Fourth Proportional to 243,309.42, 335,743.02 and 135,877.16

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Solution

The fourth proportional to 243,309.42, 335,743.02 and 135,877.16 is: 187,497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,309.42 : 335,743.02 = 135,877.16 : x
  2. Step 2: Convert to fraction form
    243,309.42/335,743.02 = 135,877.16/x
  3. Step 3: Cross multiply
    243,309.42x = 335,743.02 × 135,877.16
  4. Step 4: Simplify right side
    243,309.42x = 45,619,806,368.71
  5. Step 5: Solve for x
    x = 45,619,806,368.71/243,309.42
  6. Step 6: Final answer
    x = 187,497.08

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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.