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Finding the Fourth Proportional to 206,646.40, 310,012.80 and 66,419.20

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Solution

The fourth proportional to 206,646.40, 310,012.80 and 66,419.20 is: 99,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,646.40 : 310,012.80 = 66,419.20 : x
  2. Step 2: Convert to fraction form
    206,646.40/310,012.80 = 66,419.20/x
  3. Step 3: Cross multiply
    206,646.40x = 310,012.80 × 66,419.20
  4. Step 4: Simplify right side
    206,646.40x = 20,590,802,165.76
  5. Step 5: Solve for x
    x = 20,590,802,165.76/206,646.40
  6. Step 6: Final answer
    x = 99,642.69

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