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Finding the Fourth Proportional to 176,534.10, 264,801.15 and 71,298.90

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Solution

The fourth proportional to 176,534.10, 264,801.15 and 71,298.90 is: 106,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,534.10 : 264,801.15 = 71,298.90 : x
  2. Step 2: Convert to fraction form
    176,534.10/264,801.15 = 71,298.90/x
  3. Step 3: Cross multiply
    176,534.10x = 264,801.15 × 71,298.90
  4. Step 4: Simplify right side
    176,534.10x = 18,880,030,713.74
  5. Step 5: Solve for x
    x = 18,880,030,713.74/176,534.10
  6. Step 6: Final answer
    x = 106,948.35

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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.