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Finding the Fourth Proportional to 153,637.68, 212,020.98 and 85,659

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Solution

The fourth proportional to 153,637.68, 212,020.98 and 85,659 is: 118,209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,637.68 : 212,020.98 = 85,659 : x
  2. Step 2: Convert to fraction form
    153,637.68/212,020.98 = 85,659/x
  3. Step 3: Cross multiply
    153,637.68x = 212,020.98 × 85,659
  4. Step 4: Simplify right side
    153,637.68x = 18,161,505,125.82
  5. Step 5: Solve for x
    x = 18,161,505,125.82/153,637.68
  6. Step 6: Final answer
    x = 118,209.97

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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.