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Finding the Fourth Proportional to 145,275.08, 200,398.72 and 135,000

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Solution

The fourth proportional to 145,275.08, 200,398.72 and 135,000 is: 186,224.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,275.08 : 200,398.72 = 135,000 : x
  2. Step 2: Convert to fraction form
    145,275.08/200,398.72 = 135,000/x
  3. Step 3: Cross multiply
    145,275.08x = 200,398.72 × 135,000
  4. Step 4: Simplify right side
    145,275.08x = 27,053,827,200
  5. Step 5: Solve for x
    x = 27,053,827,200/145,275.08
  6. Step 6: Final answer
    x = 186,224.83

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