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Finding the Fourth Proportional to 536,664.40, 805,024.14 and 137,308.64

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Solution

The fourth proportional to 536,664.40, 805,024.14 and 137,308.64 is: 205,970.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,664.40 : 805,024.14 = 137,308.64 : x
  2. Step 2: Convert to fraction form
    536,664.40/805,024.14 = 137,308.64/x
  3. Step 3: Cross multiply
    536,664.40x = 805,024.14 × 137,308.64
  4. Step 4: Simplify right side
    536,664.40x = 110,536,769,830.57
  5. Step 5: Solve for x
    x = 110,536,769,830.57/536,664.40
  6. Step 6: Final answer
    x = 205,970.01

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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.