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Finding the Fourth Proportional to 197,349.76, 296,102.48 and 86,464

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Solution

The fourth proportional to 197,349.76, 296,102.48 and 86,464 is: 129,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,349.76 : 296,102.48 = 86,464 : x
  2. Step 2: Convert to fraction form
    197,349.76/296,102.48 = 86,464/x
  3. Step 3: Cross multiply
    197,349.76x = 296,102.48 × 86,464
  4. Step 4: Simplify right side
    197,349.76x = 25,602,204,830.72
  5. Step 5: Solve for x
    x = 25,602,204,830.72/197,349.76
  6. Step 6: Final answer
    x = 129,730.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.