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Finding the Fourth Proportional to 145,055.38, 200,190.81 and 97,407.94

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Solution

The fourth proportional to 145,055.38, 200,190.81 and 97,407.94 is: 134,432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,055.38 : 200,190.81 = 97,407.94 : x
  2. Step 2: Convert to fraction form
    145,055.38/200,190.81 = 97,407.94/x
  3. Step 3: Cross multiply
    145,055.38x = 200,190.81 × 97,407.94
  4. Step 4: Simplify right side
    145,055.38x = 19,500,174,409.03
  5. Step 5: Solve for x
    x = 19,500,174,409.03/145,055.38
  6. Step 6: Final answer
    x = 134,432.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.