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Finding the Fourth Proportional to 145,224.04, 217,647.72 and 65,202.94

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Solution

The fourth proportional to 145,224.04, 217,647.72 and 65,202.94 is: 97,719.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,224.04 : 217,647.72 = 65,202.94 : x
  2. Step 2: Convert to fraction form
    145,224.04/217,647.72 = 65,202.94/x
  3. Step 3: Cross multiply
    145,224.04x = 217,647.72 × 65,202.94
  4. Step 4: Simplify right side
    145,224.04x = 14,191,271,228.30
  5. Step 5: Solve for x
    x = 14,191,271,228.30/145,224.04
  6. Step 6: Final answer
    x = 97,719.85

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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.