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Finding the Fourth Proportional to 147,666.70, 221,609.40 and 97,730.20

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Solution

The fourth proportional to 147,666.70, 221,609.40 and 97,730.20 is: 146,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,666.70 : 221,609.40 = 97,730.20 : x
  2. Step 2: Convert to fraction form
    147,666.70/221,609.40 = 97,730.20/x
  3. Step 3: Cross multiply
    147,666.70x = 221,609.40 × 97,730.20
  4. Step 4: Simplify right side
    147,666.70x = 21,657,930,983.88
  5. Step 5: Solve for x
    x = 21,657,930,983.88/147,666.70
  6. Step 6: Final answer
    x = 146,667.67

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1.5x scale

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.