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Finding the Fourth Proportional to 159,588.34, 239,417.70 and 47,277.40

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Solution

The fourth proportional to 159,588.34, 239,417.70 and 47,277.40 is: 70,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,588.34 : 239,417.70 = 47,277.40 : x
  2. Step 2: Convert to fraction form
    159,588.34/239,417.70 = 47,277.40/x
  3. Step 3: Cross multiply
    159,588.34x = 239,417.70 × 47,277.40
  4. Step 4: Simplify right side
    159,588.34x = 11,319,046,369.98
  5. Step 5: Solve for x
    x = 11,319,046,369.98/159,588.34
  6. Step 6: Final answer
    x = 70,926.52

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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.