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Finding the Fourth Proportional to 536,663.40, 805,022.64 and 137,307.64

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Solution

The fourth proportional to 536,663.40, 805,022.64 and 137,307.64 is: 205,968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,663.40 : 805,022.64 = 137,307.64 : x
  2. Step 2: Convert to fraction form
    536,663.40/805,022.64 = 137,307.64/x
  3. Step 3: Cross multiply
    536,663.40x = 805,022.64 × 137,307.64
  4. Step 4: Simplify right side
    536,663.40x = 110,535,758,844.97
  5. Step 5: Solve for x
    x = 110,535,758,844.97/536,663.40
  6. Step 6: Final answer
    x = 205,968.51

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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.