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Finding the Fourth Proportional to 147,908.70, 221,863.05 and 64,964.70

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Solution

The fourth proportional to 147,908.70, 221,863.05 and 64,964.70 is: 97,447.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,908.70 : 221,863.05 = 64,964.70 : x
  2. Step 2: Convert to fraction form
    147,908.70/221,863.05 = 64,964.70/x
  3. Step 3: Cross multiply
    147,908.70x = 221,863.05 × 64,964.70
  4. Step 4: Simplify right side
    147,908.70x = 14,413,266,484.34
  5. Step 5: Solve for x
    x = 14,413,266,484.34/147,908.70
  6. Step 6: Final answer
    x = 97,447.05

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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.