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Finding the Fourth Proportional to 97,225.40, 145,751.70 and 63,961.40

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Solution

The fourth proportional to 97,225.40, 145,751.70 and 63,961.40 is: 95,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,225.40 : 145,751.70 = 63,961.40 : x
  2. Step 2: Convert to fraction form
    97,225.40/145,751.70 = 63,961.40/x
  3. Step 3: Cross multiply
    97,225.40x = 145,751.70 × 63,961.40
  4. Step 4: Simplify right side
    97,225.40x = 9,322,482,784.38
  5. Step 5: Solve for x
    x = 9,322,482,784.38/97,225.40
  6. Step 6: Final answer
    x = 95,885.26

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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.