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Finding the Fourth Proportional to 159,355.49, 238,977.53 and 47,005.88

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Solution

The fourth proportional to 159,355.49, 238,977.53 and 47,005.88 is: 70,492.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,355.49 : 238,977.53 = 47,005.88 : x
  2. Step 2: Convert to fraction form
    159,355.49/238,977.53 = 47,005.88/x
  3. Step 3: Cross multiply
    159,355.49x = 238,977.53 × 47,005.88
  4. Step 4: Simplify right side
    159,355.49x = 11,233,348,740.40
  5. Step 5: Solve for x
    x = 11,233,348,740.40/159,355.49
  6. Step 6: Final answer
    x = 70,492.39

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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.