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Finding the Fourth Proportional to 161,464.58, 242,251.35 and 71,495.01

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Solution

The fourth proportional to 161,464.58, 242,251.35 and 71,495.01 is: 107,266.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,464.58 : 242,251.35 = 71,495.01 : x
  2. Step 2: Convert to fraction form
    161,464.58/242,251.35 = 71,495.01/x
  3. Step 3: Cross multiply
    161,464.58x = 242,251.35 × 71,495.01
  4. Step 4: Simplify right side
    161,464.58x = 17,319,762,690.76
  5. Step 5: Solve for x
    x = 17,319,762,690.76/161,464.58
  6. Step 6: Final answer
    x = 107,266.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.