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Finding the Fourth Proportional to 145,632.38, 201,034.87 and 97,913.40

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Solution

The fourth proportional to 145,632.38, 201,034.87 and 97,913.40 is: 135,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,632.38 : 201,034.87 = 97,913.40 : x
  2. Step 2: Convert to fraction form
    145,632.38/201,034.87 = 97,913.40/x
  3. Step 3: Cross multiply
    145,632.38x = 201,034.87 × 97,913.40
  4. Step 4: Simplify right side
    145,632.38x = 19,684,007,640.26
  5. Step 5: Solve for x
    x = 19,684,007,640.26/145,632.38
  6. Step 6: Final answer
    x = 135,162.30

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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.