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Finding the Fourth Proportional to 197,681.96, 296,478.47 and 90,963.54

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Solution

The fourth proportional to 197,681.96, 296,478.47 and 90,963.54 is: 136,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,681.96 : 296,478.47 = 90,963.54 : x
  2. Step 2: Convert to fraction form
    197,681.96/296,478.47 = 90,963.54/x
  3. Step 3: Cross multiply
    197,681.96x = 296,478.47 × 90,963.54
  4. Step 4: Simplify right side
    197,681.96x = 26,968,730,710.17
  5. Step 5: Solve for x
    x = 26,968,730,710.17/197,681.96
  6. Step 6: Final answer
    x = 136,424.85

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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.