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Finding the Fourth Proportional to 242,595.84, 334,786.56 and 135,168

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Solution

The fourth proportional to 242,595.84, 334,786.56 and 135,168 is: 186,534.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,595.84 : 334,786.56 = 135,168 : x
  2. Step 2: Convert to fraction form
    242,595.84/334,786.56 = 135,168/x
  3. Step 3: Cross multiply
    242,595.84x = 334,786.56 × 135,168
  4. Step 4: Simplify right side
    242,595.84x = 45,252,429,742.08
  5. Step 5: Solve for x
    x = 45,252,429,742.08/242,595.84
  6. Step 6: Final answer
    x = 186,534.24

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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.