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Finding the Fourth Proportional to 197,419.58, 296,098.39 and 64,298.71

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Solution

The fourth proportional to 197,419.58, 296,098.39 and 64,298.71 is: 96,437.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,419.58 : 296,098.39 = 64,298.71 : x
  2. Step 2: Convert to fraction form
    197,419.58/296,098.39 = 64,298.71/x
  3. Step 3: Cross multiply
    197,419.58x = 296,098.39 × 64,298.71
  4. Step 4: Simplify right side
    197,419.58x = 19,038,744,598.89
  5. Step 5: Solve for x
    x = 19,038,744,598.89/197,419.58
  6. Step 6: Final answer
    x = 96,437.98

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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.