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Finding the Fourth Proportional to 97,457.67, 134,454.54 and 61,143.74

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Solution

The fourth proportional to 97,457.67, 134,454.54 and 61,143.74 is: 84,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,457.67 : 134,454.54 = 61,143.74 : x
  2. Step 2: Convert to fraction form
    97,457.67/134,454.54 = 61,143.74/x
  3. Step 3: Cross multiply
    97,457.67x = 134,454.54 × 61,143.74
  4. Step 4: Simplify right side
    97,457.67x = 8,221,052,817.70
  5. Step 5: Solve for x
    x = 8,221,052,817.70/97,457.67
  6. Step 6: Final answer
    x = 84,355.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.