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Finding the Fourth Proportional to 145,720.35, 201,097.98 and 82,060.38

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Solution

The fourth proportional to 145,720.35, 201,097.98 and 82,060.38 is: 113,245.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,720.35 : 201,097.98 = 82,060.38 : x
  2. Step 2: Convert to fraction form
    145,720.35/201,097.98 = 82,060.38/x
  3. Step 3: Cross multiply
    145,720.35x = 201,097.98 × 82,060.38
  4. Step 4: Simplify right side
    145,720.35x = 16,502,176,656.03
  5. Step 5: Solve for x
    x = 16,502,176,656.03/145,720.35
  6. Step 6: Final answer
    x = 113,245.52

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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.