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Finding the Fourth Proportional to 197,957.70, 296,906.49 and 64,835.01

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Solution

The fourth proportional to 197,957.70, 296,906.49 and 64,835.01 is: 97,242.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,957.70 : 296,906.49 = 64,835.01 : x
  2. Step 2: Convert to fraction form
    197,957.70/296,906.49 = 64,835.01/x
  3. Step 3: Cross multiply
    197,957.70x = 296,906.49 × 64,835.01
  4. Step 4: Simplify right side
    197,957.70x = 19,249,935,248.21
  5. Step 5: Solve for x
    x = 19,249,935,248.21/197,957.70
  6. Step 6: Final answer
    x = 97,242.67

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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.