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Finding the Fourth Proportional to 206,588.48, 309,886.08 and 64,437.50

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Solution

The fourth proportional to 206,588.48, 309,886.08 and 64,437.50 is: 96,657.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,588.48 : 309,886.08 = 64,437.50 : x
  2. Step 2: Convert to fraction form
    206,588.48/309,886.08 = 64,437.50/x
  3. Step 3: Cross multiply
    206,588.48x = 309,886.08 × 64,437.50
  4. Step 4: Simplify right side
    206,588.48x = 19,968,284,280
  5. Step 5: Solve for x
    x = 19,968,284,280/206,588.48
  6. Step 6: Final answer
    x = 96,657.30

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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.