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Finding the Fourth Proportional to 145,633.63, 201,036.60 and 97,914.66

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Solution

The fourth proportional to 145,633.63, 201,036.60 and 97,914.66 is: 135,164.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,633.63 : 201,036.60 = 97,914.66 : x
  2. Step 2: Convert to fraction form
    145,633.63/201,036.60 = 97,914.66/x
  3. Step 3: Cross multiply
    145,633.63x = 201,036.60 × 97,914.66
  4. Step 4: Simplify right side
    145,633.63x = 19,684,430,336.56
  5. Step 5: Solve for x
    x = 19,684,430,336.56/145,633.63
  6. Step 6: Final answer
    x = 135,164.04

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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.