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Finding the Fourth Proportional to 176,459.10, 264,688.65 and 71,223.90

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Solution

The fourth proportional to 176,459.10, 264,688.65 and 71,223.90 is: 106,835.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,459.10 : 264,688.65 = 71,223.90 : x
  2. Step 2: Convert to fraction form
    176,459.10/264,688.65 = 71,223.90/x
  3. Step 3: Cross multiply
    176,459.10x = 264,688.65 × 71,223.90
  4. Step 4: Simplify right side
    176,459.10x = 18,852,157,938.74
  5. Step 5: Solve for x
    x = 18,852,157,938.74/176,459.10
  6. Step 6: Final answer
    x = 106,835.85

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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.