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Finding the Fourth Proportional to 294,242.63, 441,429.55 and 107,254.13

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Solution

The fourth proportional to 294,242.63, 441,429.55 and 107,254.13 is: 160,905.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,242.63 : 441,429.55 = 107,254.13 : x
  2. Step 2: Convert to fraction form
    294,242.63/441,429.55 = 107,254.13/x
  3. Step 3: Cross multiply
    294,242.63x = 441,429.55 × 107,254.13
  4. Step 4: Simplify right side
    294,242.63x = 47,345,139,866.26
  5. Step 5: Solve for x
    x = 47,345,139,866.26/294,242.63
  6. Step 6: Final answer
    x = 160,905.10

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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.