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Finding the Fourth Proportional to 294,096.22, 441,133.26 and 83,734.10

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Solution

The fourth proportional to 294,096.22, 441,133.26 and 83,734.10 is: 125,598.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,096.22 : 441,133.26 = 83,734.10 : x
  2. Step 2: Convert to fraction form
    294,096.22/441,133.26 = 83,734.10/x
  3. Step 3: Cross multiply
    294,096.22x = 441,133.26 × 83,734.10
  4. Step 4: Simplify right side
    294,096.22x = 36,937,896,506.17
  5. Step 5: Solve for x
    x = 36,937,896,506.17/294,096.22
  6. Step 6: Final answer
    x = 125,598.00

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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.