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Finding the Fourth Proportional to 159,335.84, 238,964.08 and 48,526.24

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Solution

The fourth proportional to 159,335.84, 238,964.08 and 48,526.24 is: 72,777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,335.84 : 238,964.08 = 48,526.24 : x
  2. Step 2: Convert to fraction form
    159,335.84/238,964.08 = 48,526.24/x
  3. Step 3: Cross multiply
    159,335.84x = 238,964.08 × 48,526.24
  4. Step 4: Simplify right side
    159,335.84x = 11,596,028,297.46
  5. Step 5: Solve for x
    x = 11,596,028,297.46/159,335.84
  6. Step 6: Final answer
    x = 72,777.28

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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.