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Finding the Fourth Proportional to 230,652.16, 345,992.88 and 97,507.60

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Solution

The fourth proportional to 230,652.16, 345,992.88 and 97,507.60 is: 146,267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,652.16 : 345,992.88 = 97,507.60 : x
  2. Step 2: Convert to fraction form
    230,652.16/345,992.88 = 97,507.60/x
  3. Step 3: Cross multiply
    230,652.16x = 345,992.88 × 97,507.60
  4. Step 4: Simplify right side
    230,652.16x = 33,736,935,345.89
  5. Step 5: Solve for x
    x = 33,736,935,345.89/230,652.16
  6. Step 6: Final answer
    x = 146,267.59

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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.