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Finding the Fourth Proportional to 355,365, 533,139.84 and 106,047

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Solution

The fourth proportional to 355,365, 533,139.84 and 106,047 is: 159,098.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,365 : 533,139.84 = 106,047 : x
  2. Step 2: Convert to fraction form
    355,365/533,139.84 = 106,047/x
  3. Step 3: Cross multiply
    355,365x = 533,139.84 × 106,047
  4. Step 4: Simplify right side
    355,365x = 56,537,880,612.48
  5. Step 5: Solve for x
    x = 56,537,880,612.48/355,365
  6. Step 6: Final answer
    x = 159,098.06

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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.