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Finding the Fourth Proportional to 242,548.77, 334,719.51 and 135,118.47

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Solution

The fourth proportional to 242,548.77, 334,719.51 and 135,118.47 is: 186,464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,548.77 : 334,719.51 = 135,118.47 : x
  2. Step 2: Convert to fraction form
    242,548.77/334,719.51 = 135,118.47/x
  3. Step 3: Cross multiply
    242,548.77x = 334,719.51 × 135,118.47
  4. Step 4: Simplify right side
    242,548.77x = 45,226,788,070.35
  5. Step 5: Solve for x
    x = 45,226,788,070.35/242,548.77
  6. Step 6: Final answer
    x = 186,464.72

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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.