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Finding the Fourth Proportional to 145,615.35, 201,011.16 and 97,896.36

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Solution

The fourth proportional to 145,615.35, 201,011.16 and 97,896.36 is: 135,138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,615.35 : 201,011.16 = 97,896.36 : x
  2. Step 2: Convert to fraction form
    145,615.35/201,011.16 = 97,896.36/x
  3. Step 3: Cross multiply
    145,615.35x = 201,011.16 × 97,896.36
  4. Step 4: Simplify right side
    145,615.35x = 19,678,260,883.38
  5. Step 5: Solve for x
    x = 19,678,260,883.38/145,615.35
  6. Step 6: Final answer
    x = 135,138.64

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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.