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Finding the Fourth Proportional to 200,901.82, 301,398.75 and 87,068.74

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Solution

The fourth proportional to 200,901.82, 301,398.75 and 87,068.74 is: 130,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,901.82 : 301,398.75 = 87,068.74 : x
  2. Step 2: Convert to fraction form
    200,901.82/301,398.75 = 87,068.74/x
  3. Step 3: Cross multiply
    200,901.82x = 301,398.75 × 87,068.74
  4. Step 4: Simplify right side
    200,901.82x = 26,242,409,400.08
  5. Step 5: Solve for x
    x = 26,242,409,400.08/200,901.82
  6. Step 6: Final answer
    x = 130,623.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.